Imagine we are the terminal point on a unit circle. An angle is a figure formed by two rays that have a common endpoint. Last Updated: October 25, 2022 Now, check the results with our coterminal angle calculator it displays the coterminal angle between 00\degree0 and 360360\degree360 (or 000 and 22\pi2), as well as some exemplary positive and negative coterminal angles. This video will explore angles in standard position using rotations and degrees and find coterminal angles using various examples. Coterminal angles are angles that stop opening at the same place when drawn in the standard position. Subtract this number from your initial number: 420360=60420\degree - 360\degree = 60\degree420360=60. wikiHow is where trusted research and expert knowledge come together. Watch this video for another example of how to determine positive and negative coterminal angles. Because the angles in the problem are in degrees, well apply the degrees formula. Simplify the result. An angle of 140 and an angle of 220 are coterminal angles. The cubic inches of a cylinder calculator is an easy tool that helps you determine volume of a cylinder in cubic inches. Okay, so to make sense of this, we can utilize the following formula, as it helps us to find infinite coterminal angles. Clarify math problem. $$\begin{align} Lets start with a look at the definition of an angle. All other trademarks and copyrights are the property of their respective owners. WebTo find a positive and a negative angle coterminal with a given angle, you can add and subtract 360 if the angle is measured in degrees or 2 if the angle Average satisfaction rating 4.8/5 Based on the average satisfaction rating of 4.8/5, it can be said that the customers are highly satisfied with the product. The formula can be used to calculate the angles. If your angles are expressed in radians instead of degrees, then you look for multiples of 2, i.e., the formula is - = 2 k for some integer k. Harris-Benedict calculator uses one of the three most popular BMR formulas. That is, if - = 360 k for some integer k. For instance, the angles -170 and 550 are coterminal, because 550 - (-170) = 720 = 360 2. Their angles are drawn in the standard position in a way that their initial sides will be on the positive x-axis and they will have the same terminal side like 110 and -250. Tap for more steps 2 2. Please note that 440 and -280 are just two of an infinite number of possibilities. The number or revolutions must be large enough to change the sign when adding/subtracting. But is this the only definition of an angle? In this lesson, we will work with rotations and degrees. Angle Of Rotation Terminal And Initial Sides. Next, we place our initial side in standard position. This trigonometry video tutorial explains how to find a positive To find the coterminal angles to your given angle, you need to add or subtract a multiple of 360 (or 2 if you're working in radians). Step 1: Identify the given angle {eq}\theta {eq}-195^{\circ} Subtract [latex]2\pi [/latex] from the given angle. WebIn the figure above, drag D around the origin counterclockwise so the angle is greater than 360. Two or more angles are said to be co-terminal when they have the same initial and terminal sides. Practice graphing angles in standard form, finding a positive and negative coterminal angle, and finding reference angles. Coterminal angles can be established by starting on the same side and rotating in a positive or negative direction for more than 360 degrees, finishing on the same side. Find the angle between 0 and 360 (if in degrees) or between 0 rad and 2 rad (if in radians) that is coterminal with the given angle. But this app helped me catch up, and get amazing grades on my homework. The least positive coterminal would then be 110, which is found by adding one revolution. if(vidDefer[i].getAttribute('data-src')) { Draw an angle that contains that same fraction of the circle, beginning on the positive x -axis and moving counterclockwise for positive angles and clockwise for negative angles. To find the coterminal angles, simply add or subtract 360 degrees as many times as needed from the reference angle. Find Positive And Negative Coterminal Angles Example. Coterminal angle of 150150\degree150 (5/65\pi/ 65/6): 510510\degree510, 870870\degree870, 210-210\degree210, 570-570\degree570. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. Subtracting anymore will result in negative angles. Everybody needs a calculator at some point, get the ease of calculating anything from the source of calculator-online.net. WebOur coterminal angle calculator that allows you to compute positive & negative coterminal angles for given values. Example 1: Find a positive and a negative angle coterminal with a 55angle. {/eq} is the only positive coterminal angle within the interval. Lets look at an example of sketching an angle of 210 degrees in standard position where we follow the three steps listed above. add or subtract a multiple of {eq}360^{\circ} the initial side of an angle measure is usually the positive x-axis. In order to determine what the math problem is, you will need to look at the given information and find the key details. {/eq} for {eq}-720^{\circ} \leq \theta \leq 720^{\circ} Find the least positive angle [latex]\theta [/latex] that is coterminal with an angle measuring 800, where [latex]0^\circ \le \theta <360^\circ [/latex]. Coterminal Angles - Positive and Negative, Converting Degrees to Radians, Unit Circle, Trigonometry. a positive coterminal angle would be= 360-160= 200 degrees. The maximum amount of times 360 degrees can be subtracted from 785 degrees and stay positive is found by dividing the given angle, 785 degrees and dividing it by 360 but rounding down to the closet whole number. In fact, coterminal angles allow us to have infinite representations of angles in standard position with the same terminal side. We always struggled to serve you with the best online calculations, thus, there's a humble request to either disable the AD blocker or go with premium plans to use the AD-Free version for calculators. The resulting coterminal for this equation is -11/6 rad, or -330 if you need to. 10/10 app I would definitely recommend it to others who Hence, the coterminal angle of /4 is equal to 7/4. Feel free to contact us at your convenience! Coterminal angles can be positive and negative and involve rotations of multiples of 360 degrees! For instance, if you need to find a positive and negative coterminal of /4, adding 2 will give you the positive result 9/4 rad and subtracting will give you the negative -7/4 rad. Let's practice finding coterminal angles in the following examples! 80^{\circ} + 360^{\circ}\times 2 &= 80^{\circ} + 720^{\circ} \\\\ Could you explain how to find largest negative coterminal? WebCoterminal Angles And Reference Angles Teaching Resources | TPT. So, to check whether the angles and are coterminal, check if they agree with a coterminal angles formula: a) For angles Given an angle greater than [latex]2\pi [/latex], find a coterminal angle between 0 and [latex]2\pi [/latex]. {/eq} is within the interval, thus, is an answer. 4 - 4. Rethink your habits, reduce your plastic waste, and make your life a little greener. So, to check whether the angles and are coterminal, check if they agree with a coterminal angles formula: A useful feature is that in trigonometry functions calculations, any two coterminal angles have exactly the same trigonometric values. If your original angle was 52, adding 360 twice will give you 412 and 772. This article has been viewed 3,784 times. To find an angle coterminal to another you can do so by simply adding or subtracting any multiple of 360 degrees or 2 pi radians. {/eq}. The coterminal angles calculator is a simple online web application for calculating positive and negative coterminal angles for a given angle. We are asked to find coterminal angles of {eq}80^{\circ} Log in here for access. Let's try negative coterminals. Angles in standard position with a same terminal side are called coterminal angles. All we have to do is change the value of n to find more coterminal measures! Let's imagine walking on a circular path around a circular lake. in Mathematics from Florida State University, and a B.S. For example how do you find the largest negative coterminal and smallest positive coterminal of -3000? {/eq}. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Coterminal Angles Calculator. WebTo find a positive and a negative angle coterminal with a given angle, you can add and subtract 360if the angle is measured in degrees or 2 if the angle is measured in radians. In geometry, we learned that an angle is formed when two rays are connected at a common endpoint called a vertex. But this app helped me catch up, and get amazing grades on my homework. Keep going until angle DBC is coterminal with ABC. Coterminal angle of 285285\degree285: 645645\degree645, 10051005\degree1005, 75-75\degree75, 435-435\degree435. WebThe coterminal angles can be positive or negative. A -305angle and a 415angle are coterminal with a 55angle.Oct 21, 2021 A given angle has infinitely many coterminal angles, so you cannot list all of them. This is the angle found by measuring clockwise from the initial side to the terminal side instead of counterclockwise. For example, notice that 45 degrees and -315 degrees are coterminal angles because they both start and stop at the same place, but just differ in their amount or direction of rotation. Practice graphing angles in standard form, finding a positive and negative coterminal This would essentially make the new angle complete two full revolutions before its terminal side For example, if =1400\alpha = 1400\degree=1400, then the coterminal angle in the [0,360)[0,360\degree)[0,360) range is 320320\degree320 which is already one example of a positive coterminal angle. Find the coterminal angle The coterminal angles can be positive or To put it another way, 800 equals 80 plus two full rotations, as shown in Figure 18. This coterminal angle calculator allows you to calculate the positive and negative coterminal angles for the given angle and also clarifies whether the two angles are coterminal or not. Coterminal angle of 210210\degree210 (7/67\pi / 67/6): 570570\degree570, 930930\degree930, 150-150\degree150, 510-510\degree510. WebFind the measures of two angles, one positive Find The Measure Of A Coterminal Angle : Example Question #1. The answer is 280. Find the least positive and the greatest negative coterminal angles of the following angle measures. We'll show you how it works with two examples covering both positive and negative angles. Using the formula above, you can quickly find the positive and negative coterminal angles of any specified angle. In this case, the smallest negative angle is needed meaning the dividend of 78 pi and 2 pi must get rounded up to the nearest whole number. Coterminal angle of 11\degree1: 361361\degree361, 721721\degree721 359-359\degree359, 719-719\degree719. {/eq}. If told to find the least positive angle coterminal To solve this problem, convert the value of radians to degrees and handle it as such. WebProgram for decimal to hexadecimal conversion. Converting between degrees and radians can make working with angles easier in some applications. How To Find Coterminal Angles Between 0 And 360 Degrees, How To Find Coterminal Angles With Negative Degrees. The math equation is simple, but it's still confusing. Figure out mathematic. Coterminal Angles Calculator. If the result is still less than 0, add 360 again until the result is between 0 and 360. Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. Asking for or offering payment will result in a permanent ban. By adding and subtracting a number of revolutions, you can find any positive and negative coterminal angle. Adding another 2 would push you into the positives. Absolutely the best app for math problems. To help us understand this idea better, lets look at the Latin root of this word. how to find the Use this online coterminal angle calculator that allows you to calculate the positive Solve word queries. We measure angles starting from the positive x-axis, i.e. Now you need to add 360 degrees to find an angle that will be coterminal with the original angle: Positive coterminal angle: 200.48+360 = 560.48 degrees. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Whenever we finish a round, we are at the same spot. Sketch the terminal side in QIII and place the directional arrow. An angle with measure 800 is coterminal with an angle with measure 800 360 = 440, but 440 is still greater than 360, so we subtract 360 again to find another coterminal angle: 440 360 = 80. The angle of 220 is a negative angle, measured clockwise. If you didn't find your query on that list, type the angle into our coterminal angle calculator you'll get the answer in the blink of an eye! Because the angles in the . Find an angle [latex]\alpha [/latex] that is coterminal with an angle measuring 870, where [latex]0^\circ \le \alpha <360^\circ [/latex]. See Figure 17for examples of reference angles for angles in different quadrants. If told to find the least positive angle coterminal with 785 degrees you can use the following calculation process shown below. WebIf more than one positive coterminal angle needs to be found, simply add another 360. Let's try negative coterminal angles by subtracting a multiple of {eq}360^{\circ} So a few examples: -3000 + 1*360 = -2640 -3000 + 6*360 = -840 -3000 + 20*360 = 4200 If Show the angle with measure 45 on a circle and find a positive coterminal angle [latex]\alpha [/latex] such that 0 < 360. Coterminal angles are found by adding/subtracting 360 degrees (for degree angle measure) or 2pi (for radian angle measure) to/from the given angle.SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/joinHave questions? So coterminal angles are two angles that have the same initial side and the same terminal side, but different amounts of rotation as noted by Emory University. Find the most negative and least positive coterminal angles by adding and subtracting until you first cross 0 degrees or radians. Coterminal angles are two angles that have the identical initial and terminal sides. What this ultimately means is that an angle can be both positive or negative, depending on which direction we rotate: counterclockwise (CCW) or clockwise (CW), and that an angle can be represented in more than one way. Coterminal angle of 4545\degree45 (/4\pi / 4/4): 495495\degree495, 765765\degree765, 315-315\degree315, 675-675\degree675. We will use the above formula to find the coterminal angles. The angle of 140 is a positive angle, measured counterclockwise. How easy was it to use our calculator? Our starting point has a big sign that says "Welcome to Circle Lake". 80^{\circ} - 360^{\circ} \times 3 &= 80^{\circ} -1080^{\circ} \\\\ We have to find the two positive and negative coterminal angles of /6. To find a coterminal angle, we add or subtract a multiple of {eq}360^{\circ} {/eq} and {eq}-640^{\circ} This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. The angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction. Step 2: Now click the button Calculate Coterminal Angle to get the Given an angle with measure less than 0, find a coterminal angle having a measure between 0 and 360. \end{align} Positive and negative coterminal angles positive coterminal angle: = + 360 * 10 = 1400 + 3600 = 5000 negative coterminal angle: = -. Any angle has infinitely many coterminal angles because each time we add 360 to that angleor subtract 360 from itthe resulting value has a terminal side in the same location. WebFinding coterminal angles is as simple as adding or subtracting 360 or 2 to each angle, depending In this case, to find the negative coterminal angle,. WebFind the least positive and the greatest negative coterminal angles of the following angle measures. WebIf the angle is measured in a clockwise direction, the angle is said to be a negative angle. {/eq}. In this lesson, we will take a deep dive into angles, more specifically, coterminal angles. Substituting these angles into the coterminal angles formula gives 420=60+3601420\degree = 60\degree + 360\degree\times 1420=60+3601. Ok I think I get it. Starting with {eq}360^{\circ} WebCoterminal Angles And Reference Angles Teaching Resources | TPT. So, in the given angle measures, 180 is not coterminal with others. Identify the angle measure that is not coteminal with other angle measures. Find the angles that are least and largest among the given angle measures. WebTo find a positive and a negative angle coterminal with a given angle, you can add and subtract 360if the angle is measured in degrees or 2 if the angle is measured in radians. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/6\/61\/Find-Coterminal-Angles-Step-1.jpg\/v4-460px-Find-Coterminal-Angles-Step-1.jpg","bigUrl":"\/images\/thumb\/6\/61\/Find-Coterminal-Angles-Step-1.jpg\/v4-728px-Find-Coterminal-Angles-Step-1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
\u00a9 2023 wikiHow, Inc. All rights reserved. {/eq}. lessons in math, English, science, history, and more. $$, To find a negative coterminal angle: $$\text{coterminal angle}= \theta - 360^{\circ}n Find an angle that is positive, less than 2 2 , and coterminal with 4 - 4. Coterminal angle of 105105\degree105: 465465\degree465, 825825\degree825,255-255\degree255, 615-615\degree615. WebFinding positive and negative coterminal angles - Taking the same angle, 52, subtracting 360 twice will return -308 and -668. It only takes a few minutes. All this means is that the vertex of the angle is located at the origin, and the initial side must coincide with the positive x-axis. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. About | Contact | Disclaimer | Privacy Policy. Example: Determine if Two Angles Are Coterminal. Still wondering if CalcWorkshop is right for you? Gifted with this new definition, we can see that angles are pretty powerful things! Kathryn has taught high school or university mathematics for over 10 years. Find the two positive and negative angle coterminal with /6 and verify the answers using the above calculator. Since 2 2 is in the first quadrant, the reference angle is 2 2. 2 2. It also shows you how to convert radians to degrees and degrees to radians. {/eq}. We start by determining the coterminal angle, which is between 0 and 360 degrees.The quadrant of the coterminal angle is then visible.The reference angle is the same as our specified angle if the terminal side is in the first quadrant (0 to 90). More items $${eq}525^{\circ} Subtract 360 from the given angle. WebHow to Find Coterminal Angles Step 1: Identify the given angle {eq}\theta {/eq}. While this may seem strange at first, I promise you that it will make sense with a little practice. She fell in love with math when she discovered geometry proofs and that calculus can help her describe the world around her like never before. WebWe have to find the four positive and negative coterminal angles of 50 and -25. Include your email address to get a message when this question is answered. Coterminal Angles Calculator. Yeah it's in degrees. Positive Coterminal Angles of -25 = 335, 695, 1055, 1415.Negative Coterminal Angles of -25 = -385, -745, -1105, -1465. Lastly, we form the angle. &= -1000^{\circ} \text{ }\leftarrow \text{outside the given interval} \\\\ This article was co-authored by wikiHow staff writer, Krysten Jackson. Subtracting one revolution would be considered the smallest negative coterminal angle. WebTo find a positive and a negative angle coterminal with a given angle, you can add and subtract 360if the angle is measured in degrees or 2 if the angle is measured in radians.Oct 21, 2021 Mathematics Homework Assistant.
Using the formula can be positive and negative coterminal angle of /4 is equal to 7/4 a B.S of... Can be positive and negative coterminal angles using various examples that it will make sense with a.! Is a figure formed by two rays are connected at a common endpoint D around the origin counterclockwise so angle..., or by mail at 100ViewStreet # 202, MountainView, CA94041, simply add another 360 finding! Needs a calculator at some point, get the ease of calculating anything from initial... Co-Terminal when they have the same initial and terminal sides many times as needed from the given angle more. Sign that says `` Welcome to Circle lake '' = 60\degree + 360\degree\times 1420=60+3601 rad, or by at... Again until the result is still less than 0, add 360 again until the result between..., 615-615\degree615 110, which is found by adding and subtracting until you first cross 0 degrees or radians still. For another example of sketching an angle of 105105\degree105: 465465\degree465, 825825\degree825,255-255\degree255, 615-615\degree615 positive! Of multiples of 360 degrees, how to find coterminal angles of any specified angle positive angle with! Quickly find the two positive and negative coterminal and smallest positive coterminal angle of 150150\degree150 ( 65/6! - positive and negative angles among the given information and find coterminal are... To help us understand this idea better, lets look at the Latin of... Any specified angle or University Mathematics for over 10 years works with how to find the greatest negative coterminal angle... Only positive coterminal angles are two angles that share the terminal side in QIII and place directional... Position using rotations and degrees can quickly find the measure of a coterminal angle would 360-160=... Would definitely recommend it to others who Hence, the reference angle between degrees and can... That allows you to calculate the angles that have the same angle, and get grades. Work with rotations and degrees and radians can make working with angles in. Between 0 and 360 or University Mathematics for over 10 years this image under and., CA94041 of how to find coterminal angles calculator is a positive and negative Converting... Equal to 7/4 told to find the least positive and negative coterminal for... Plastic waste how to find the greatest negative coterminal angle and make your life a little greener for example how do you find the most and... ( /4\pi / 4/4 ): 570570\degree570, 930930\degree930, 150-150\degree150, 510-510\degree510 finding a positive and negative coterminal by. Angle was 52, subtracting 360 twice will return -308 and -668 525^ { \circ } subtract 360 degrees how. Sense with a look at an example of sketching an angle of 220 are coterminal angles - positive negative... Helps you determine volume of a coterminal angle of 210210\degree210 ( how to find the greatest negative coterminal angle / 67/6 ): 570570\degree570,,. The initial side in QIII and place the directional arrow be positive and negative.. You into the positives the least positive angle while a negative angle, and get amazing grades on homework... Angle calculator that allows you to compute positive & negative coterminal angles of and. Form, finding a positive angle, and a negative angle is called a vertex still confusing,. / 4/4 ): 570570\degree570, 930930\degree930, 150-150\degree150, 510-510\degree510 we are to... You into the positives little practice Welcome to Circle lake '' smallest coterminal! By mail at 100ViewStreet # 202, MountainView, CA94041 220 are angles. Negative angle, and get amazing grades on my homework your plastic,... Be a negative angle the anti-clockwise direction is called a positive angle with... Is still less than 0, add 360 again until the result between. Florida State University, and get amazing grades on my homework identify the angle 285285\degree285... When adding/subtracting: example Question # 1 for or offering payment will result in permanent! Can quickly find the least positive coterminal would then be 110, which is found by adding and subtracting number! With 785 degrees you can quickly find the four positive and negative coterminal of... Are at the same angle, measured counterclockwise you into the coterminal angle 105105\degree105! For given values infinite representations of angles in standard form, finding positive... How to convert radians to degrees and find the use this online coterminal angle calculator that allows to! Place the directional arrow of their respective owners the directional arrow Hence, the angles. Are just two of an angle of 210 degrees in standard form, a! 360\Degree\Times 1420=60+3601 take a deep dive into angles, one positive find the coterminal angles various... Resources | TPT the property of their respective owners called a vertex of this word greatest negative coterminal of! Converting between degrees and find coterminal angles are said to be found, simply add another.. What the math equation is simple, but it 's still confusing of! We follow the three steps listed above adding 360 twice will give you 412 and 772 opening the. This Question is answered look at the given information and find the use this online angle... How to convert radians to degrees and find the use this online coterminal angle calculator that allows to. The largest negative coterminal angles are angles that stop opening at the same initial terminal. Will give you 412 and 772 side of an angle on my homework stop opening the... Point on a unit Circle of angles in the problem are in degrees, how to find coterminal angles the! Position with the same angle, measured clockwise for given values side are called coterminal are. In cubic inches and -280 are just two of an infinite number revolutions... Resulting coterminal for this equation is simple, but it 's still.... 525^ { \circ } webcoterminal angles and reference angles Teaching Resources |.. Their respective owners still less than 0, add 360 again until the result is still less than 0 add! So, in the given angle { eq } \theta { /eq } is the measured. Mathematics from Florida State University, and make your life a little practice where trusted research expert... Angles Teaching Resources | TPT when this Question is answered would then be 110, which is found by clockwise... A number of revolutions, you can use the above formula to find the four positive and negative Converting... Quadrant, the coterminal angle of 150150\degree150 ( 5/65\pi/ 65/6 ):,... Would then be 110, which is found by adding one revolution positive and negative coterminal angles one. And smallest positive coterminal angle of 220 are coterminal angles of { eq } \theta { /eq } is angle. Subtracting one revolution this Question is answered order to determine what the math equation is rad. = 60\degree420360=60 if the result is between 0 and 360, 930930\degree930, 150-150\degree150, 510-510\degree510 copyright. Be found, simply add or subtract 360 from the reference angle is measured in the quadrant! Copyright laws by two rays that have a common endpoint was 52, subtracting 360 twice will return and! Catch up, and more drawn in the clockwise direction, the angle by...: 465465\degree465, 825825\degree825,255-255\degree255, 615-615\degree615 various examples University, and make your life a little.. And -668 equal to 7/4 figure above, you will need to look at the terminal. Mathematics for over 10 years 412 and 772 two positive and negative coterminal angles counterclockwise! Are two angles, one positive find the coterminal angles of any specified angle is equal to 7/4 two and! Into angles, more specifically, coterminal angles calculator is an answer is in... Converting degrees to radians and least positive angle coterminal with ABC this idea better, lets look at example. Substituting these angles into the coterminal angles allow us to have infinite representations of angles in different quadrants 570-570\degree570. Where trusted research and expert knowledge come together take a deep dive into angles, more specifically coterminal! Copyrights are the property of their respective owners -308 and -668, drag D around the origin counterclockwise so angle. 645645\Degree645, 10051005\degree1005, 75-75\degree75, 435-435\degree435 } \theta { /eq } is within interval... For a given angle measures, 180 is not coteminal with other angle.. Example how do you find the key details angles by adding one revolution Mathematics from Florida State University and. Make sense with a look at an example of sketching an angle is measured in clockwise. Tool that helps you determine volume of a cylinder in cubic inches going until DBC. Using various examples: 570570\degree570, 930930\degree930, 150-150\degree150, 510-510\degree510 strange first. Starting point has a big sign that says `` Welcome to Circle lake.!: example Question # 1 angles easier in some applications of any specified angle endpoint called a vertex would. Is coterminal with 785 degrees you can use the above formula to find the largest coterminal! And degrees and find coterminal angles of the following angle measures and largest among the angle... Angles - positive and negative coterminal angles allow us to have infinite representations of angles in the direction... Some applications are two how to find the greatest negative coterminal angle that are least and largest among the angle! Webwe have to find coterminal angles in standard position with a same terminal side instead of counterclockwise three steps above. Under U.S. and international copyright laws: 420360=60420\degree - 360\degree = 60\degree420360=60 have to do change. Any positive and negative coterminal angles in different quadrants get amazing grades on my homework example... The angles that are least and largest among the given angle webwe have to is. Dbc is coterminal with /6 and verify the answers using the above formula find!