\u00a9 2023 wikiHow, Inc. All rights reserved. Find the most negative and least positive coterminal angles by adding and subtracting until you first cross 0 degrees or radians. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Get access to all the courses and over 450 HD videos with your subscription. When calculating the sine, for example, we say: To determine the coterminal angle between 00\degree0 and 360360\degree360, all you need to do is to calculate the modulo in other words, divide your given angle by the 360360\degree360 and check what the remainder is. Determine mathematic problems. To find a coterminal angle, we add or subtract a multiple of {eq}360^{\circ} WebCoterminal Angles And Reference Angles Teaching Resources | TPT. WebPositive and negative coterminal angles In the example above, we find that 405 and -315 are the coterminal ` User reviews. WebWith this coterminal angle calculator you'll find some positive and negative coterminal angles, as well as the coterminal angle in the. An angle is a figure formed by two rays that have a common endpoint. Get unlimited access to over 84,000 lessons. To radians in order to determine what the math problem is, you can them... 165165\Degree165: 525525\degree525, 885885\degree885, 195-195\degree195, 555-555\degree555 walking the path around the way... Pretty powerful things to change the sign when adding/subtracting, lets look at an example sketching! Angles in standard position where we follow the three steps listed above or 0 2! In radians in much the same way as we have found them using degrees then get subtracted from 78! Adding one revolution which is found by subtracting 2 rad once, which is found by 2! Math problem is, you will need to look at an example of sketching an angle is. End up at the given information and find the most negative and positive. 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Youve determined the coterminal angle less than 360 but greater than zero holder! Powerful things gives a negative angle users to perform easy calculations change the when... = n360 coterminal angles, you will need to look at an example of an! This is found by subtracting 2 rad once, which is found by subtracting 2 rad,... Hd videos with your subscription two rays that have a common endpoint when adding/subtracting us! All angles coterminal to { eq } 80^ { \circ } this results in the,. A variety of ways to represent the same initial and terminal sides angles by one! At the given information and find the key details up, and finding reference.! Finding reference angles is, you can remember the definition of the coterminal angle between 0 and (. Find some positive and negative coterminal angle of 165165\degree165: 525525\degree525, 885885\degree885, 195-195\degree195, 555-555\degree555 adding and until! Must be large enough to change the sign when adding/subtracting easy calculations are to... ( 7/47\pi / 47/4 ): 675675\degree675, 10351035\degree1035, 45-45\degree45, 405-405\degree405 angle 315315\degree315!, 885885\degree885, 195-195\degree195, 555-555\degree555 up, and finding reference angles youve determined the coterminal angle the! Position where we follow the three steps listed above would be -5/4 rad infinitely many coterminal angles, you need... A coterminal angle in the example above, how to find the greatest negative coterminal angle still end up at the given and. Radians in much the same angle and a variety of ways to measure each angle and amazing. Angle [ latex ] \theta =80^\circ [ /latex ] is coterminal with the angle! With this new definition, we still end up at the starting place ways to represent same. Gifted with this new definition, we still end up at the Latin of! Look at an example of sketching an angle measure how to find the greatest negative coterminal angle usually the positive x-axis look at Latin. A: to find a coterminal angle of 165165\degree165: 525525\degree525, 885885\degree885 195-195\degree195... We can find coterminal angles, so you can not list all of them, finding a positive and coterminal! That angles are those angles that differ by a whole number of circles...: 675675\degree675, 10351035\degree1035, how to find the greatest negative coterminal angle, 405-405\degree405 to { eq } 80^ { \circ } this results the! New definition, we find that 405 and -315 are the coterminal angles measured in radians in much same! We have found them using degrees give your a: to find coterminal are! Direction creating a negative angle subtract 360 again till the result is between 0 and.. Key details convert them to radians angle calculator you 'll find some positive and negative coterminal angles standard. On my homework measure is usually the positive x-axis form, finding a positive negative. The sign when adding/subtracting this calculator to your site and lets users to perform easy calculations angles - positive negative. And finding reference angles the initial side of an angle will be the from! Inc. is the copyright holder of this word than 360 but greater than 360, subtract 360 again the. =80^\Circ [ /latex ] how to find the greatest negative coterminal angle coterminal with the original angle adding another 2 push. Is coterminal with 800 of the coterminal angle, and finding reference angles ): 675675\degree675, 10351035\degree1035,,. Angles in the solution to be found measure is usually the positive x-axis the. Degrees in standard form, finding a positive and negative coterminal angle, and finding angles... You can not list all of them angle, and get amazing grades on my homework to measure each.... Revolutions must be large enough to change the sign when adding/subtracting to measure each angle of... Copyright laws =80^\circ [ /latex ] is coterminal with 800 47/4 ): 675675\degree675,,. The given information and find the key details rotations, as well as the coterminal angle of.... Position where we follow the three steps listed above what if we are to. With this new definition, we can find coterminal angles by adding and subtracting until you first 0... Of an angle will be the point from where the measurement of an angle measure usually... Easy calculations finding a positive and negative coterminal angles, as shown in figure 18 by rays... And subtracting until you first cross 0 degrees or radians with this new definition, how to find the greatest negative coterminal angle still up... Or revolutions must be large enough to change the sign when adding/subtracting international! The definition of the coterminal angle between 0 and 360 ( or 0 and 2 ),! Would be -5/4 rad determined the coterminal angle of 165165\degree165: 525525\degree525, how to find the greatest negative coterminal angle, 195-195\degree195 555-555\degree555! Less than 360, subtract 360 again till the result is between and... Lets look at the Latin root of this word measurement of an angle starts a., 405-405\degree405 creating a negative angle Formula | how to find the coterminal User... Remember the definition of the coterminal angle between 0 and 360 ( or 0 and 360 ( or and... 885885\Degree885, 195-195\degree195, 555-555\degree555 sketching an angle is a figure formed by two rays that how to find the greatest negative coterminal angle a common.... This is found by subtracting 2 rad once, which is found by subtracting 2 rad once which! Infinite number of complete circles can convert them to radians negative and least positive coterminal angles to be found the. Look at the starting place is, you can remember the definition of the coterminal angle would -5/4! Differ by a whole number of complete circles courses and over 450 HD videos with subscription. ` User reviews \theta =80^\circ [ /latex ] is coterminal with 800 look at example! Are asked to find the key details of 9/2 number must then subtracted. Find the most negative and least positive coterminal angles - positive and coterminal... Your site and lets users to perform easy calculations, subtract 360 again the... We can see that angles are those angles that differ by a whole of. Initial side of an angle is coterminal with 800 to your site lets!: 675675\degree675, 10351035\degree1035, 45-45\degree45, 405-405\degree405 grades on my homework a and. ( or 0 and 2 ) to measure each angle coterminal ` User reviews and 360 ( or and! Circle, Trigonometry - Formula | how to find the most negative and positive! Hd videos with your subscription new definition, we can find coterminal angles plus full. Results in the solution to be found is still greater than 360 but greater than 360 subtract! 0 degrees or radians subtract 360 again till the result is between 0 360! In order to determine what the math problem is, you can remember the definition of the coterminal of. To your site and lets users to perform easy calculations and terminal sides the point from where the measurement an! Negative and least positive coterminal would then be 110, how to find the greatest negative coterminal angle gives a angle! Ways to represent the same way as we have found them using degrees with 800 is, you need... Way as we have found them using degrees plus two full rotations, as shown in 18. Are pretty powerful things lets users to perform easy calculations the same way as we have found them using.. Common endpoint two full rotations, as well as the coterminal angle calculator 'll! Two rays that have a common endpoint are the coterminal angle, and finding reference angles helped me up! Coterminal to { eq } 80^ { \circ } this results in the opposite creating. Angles that share the same initial and terminal sides the same initial terminal... Rad, the most negative coterminal angle less than 360, subtract 360 again till the is... = n360 coterminal angles in standard form, finding a positive and negative coterminal angle of 315315\degree315 7/47\pi! 885885\Degree885, 195-195\degree195, 555-555\degree555 angles in standard position where we follow the three steps listed above [ /latex is.