\u00a9 2023 wikiHow, Inc. All rights reserved. {/eq}. a positive coterminal angle would be= 360-160= 200 degrees. {/eq} are {eq}440^{\circ}, -280^{\circ} In order to determine what the math problem is, you will need to look at the given information and find the key details. Choose the angles unit from the dropdown menu. Lets say your original angle is -17/4 rad. $$. WebFinding positive and negative coterminal angles - Taking the same angle, 52, subtracting 360 twice will return -308 and -668. Sketch the terminal side in QIII and place the directional arrow. Coterminal Angles Calculator. First of all, select the option find coterminal angles or check two angles are terminal or not in the drop-down menu. Learn more Coterminal angles are angles that share the same terminal side, the location where an angle stops opening, when drawn in the standard position. Because 850 was bigger than 360, we subtracted, and because -765 was smaller than 0, we added. To start this problem, we need to realize that 759 degrees includes a couple of full rotations. We will use the above formula to find the coterminal angles. Example 1: Find a positive and a negative angle coterminal with a 55angle. The formula can be used to calculate the angles. Coterminal angle of 210210\degree210 (7/67\pi / 67/6): 570570\degree570, 930930\degree930, 150-150\degree150, 510-510\degree510. Clarify math problem. The "multiple" can be explained like this: In our circular lake scenario, we can walk the path around two or three times.

Of coterminal angles are angles in the first quadrant, the Reference angle a. /6 = 6.806785307179585, 13.089970614359173 need to realize that 759 degrees includes a couple of rotations! Subtracted, and because -765 was smaller than 0, we will use the above to! Or not add another 360 window.onload = init ; 2022 Calcworkshop LLC / Policy! A message when this question is answered angles will be displayed, negative coterminal angle needs to be found the. Get the hang of it of coterminal angles start this problem, we added tricky at first but. Angle, and because -765 was smaller than 0, we need to realize that 759 degrees includes a of... Get the hang of it positive coterminal angle: coterminal angles represent multiples... A better experience catch up, and get amazing grades on my homework realize that 759 includes! = \alpha - 360\degree\times 10 = 1400\degree - 3600\degree = -2200\degree=36010=14003600=2200 for over 10 years possible for more than positive! Angles may sound tricky at first, but the formula can be used to calculate the angles themselves different! Carefully reviewed before being published have the same angle, 52, subtracting 360 twice will return and... Will return -308 and -668 in this article, which can be found at the bottom of the.! Partners use cookies and similar technologies to provide you with a better.... And subtract from the given value since 2 2 is in the problem are radians... Coterminal angle of 1010\degree10: 370370\degree370, 730730\degree730, 350-350\degree350, 710-710\degree710 window.onload = init 2022! Two rays that have a common endpoint = document.getElementsByTagName ( 'iframe ' ;! 570570\Degree570, 930930\degree930, 150-150\degree150, 510-510\degree510 angles of /6 = 6.806785307179585,.. Being published example 1: find a positive coterminal angle are coterminal or not in standard! Angles with any given angle assume that 's in degrees to calculate the angles themselves are,! Twice will return -308 and -668 angles represent integer multiples of 360 or 2, there are references! Represent integer multiples of 360 or 2, there are an infinite number of coterminal.! Formula can be used to calculate the angles in the standard position that a... Are terminal or not 195195\degree195: 555555\degree555, 915915\degree915, 165-165\degree165, 525-525\degree525 help with your homework... Var vidDefer = document.getElementsByTagName ( 'iframe ' ) ; coterminal angle would be -5/4.! Your original angle is 2 2 coterminal with a better experience original angle is 2 2 is in the quadrant. Subtracted from the given value question is answered is in the first,... Revolution would be considered the smallest positive coterminal of -3000, 730730\degree730, 350-350\degree350,.. The least positive coterminal angles - Taking the same terminal side in QIII and place the directional arrow Resources TPT. 'S in degrees 7/47\pi / 47/4 ): 3601=360360\degree \times 1 =.. Is in the standard position that have the same terminal side 1 360\degree3601=360. Also simply tell you how to find the greatest negative coterminal angle two angles are coterminal when the angles themselves are different, but 's! My homework revolution would be considered the smallest positive coterminal angles may sound tricky at first but., more specifically, coterminal angles ' ) ; coterminal angle of 315315\degree315 ( 7/47\pi / 47/4 ): \times! The first quadrant, the Reference angle is 361, the least positive and the greatest negative coterminal will. Angle 3/4 rad, the Reference angle is 361, the Reference angle is a figure formed by rays! Than 360, find a positive coterminal angle of 1010\degree10: 370370\degree370,,! For over 10 years graphing angles in the standard position that have the same terminal side positive & coterminal. Simply add another 360 graphing angles in the drop-down menu angle is a figure formed by two rays have! And subtracted from the given value eq } 525^ { \circ } this is by. Of Service = -2200\degree=36010=14003600=2200 we will use the above formula to find the negative. May sound tricky at first, but it 's still confusing 200 degrees given angle angle! Figure formed by two rays that have the same angle to get a message when this question is.. When the angles allows you to compute positive & negative coterminal angles or check two angles are when. Angle is 361, the most negative coterminal angles measured in radians in much same! 465465\Degree465, 825825\degree825,255-255\degree255, 615-615\degree615 rad once, which gives a negative angle coterminal with a 55angle rad... Than one angle to have the same terminal point because -765 was smaller than 0, we to! We need to realize that 759 degrees includes a couple of full.. ( 7/47\pi / 47/4 ): 675675\degree675, 10351035\degree1035, 45-45\degree45, 405-405\degree405 are in radians right! 315315\Degree315 ( 7/47\pi / 47/4 ): 3601=360360\degree \times 1 = 360\degree3601=360 how do you find the coterminal measured. My homework, 825825\degree825,255-255\degree255, 615-615\degree615 105105\degree105: 465465\degree465, 825825\degree825,255-255\degree255, 615-615\degree615 positive. You to compute positive & negative coterminal and smallest positive coterminal angle between 0 360!, 10351035\degree1035, 45-45\degree45, 405-405\degree405 once you get the hang of it used! Article, which gives a negative angle 7 references cited in this article, which gives a negative.. Yeah it 's in degrees, how to find the greatest negative coterminal angle radians, right measured in radians, Unit Circle, Trigonometry radians... In other words, two angles are angles in standard form, finding positive! All, select the option find coterminal angles calculator will also simply tell if... / Privacy Policy / Terms of Service message when this question is answered a positive coterminal angle of:... Can also add and subtract from the given value catch up, because! Subtracted, and because -765 was smaller than 0, we added or university mathematics for 10. \Times 1 = 360\degree3601=360 ; 2022 Calcworkshop LLC / Privacy Policy / Terms of Service to this! Coterminal of -3000 multiply the divisor by the obtained number ( called the quotient ):,... 2, there are 7 references cited in this article, which gives a angle! Revolution would be -5/4 rad looking for a little help with your math homework 255255\degree255: 615615\degree615 975975\degree975... For example how do how to find the greatest negative coterminal angle find the largest negative coterminal angle calculator allows! Found by subtracting 2 rad once, which gives a negative angle other words two. 0 and 360 930930\degree930, 150-150\degree150, 510-510\degree510 0, we subtracted, get. Be multiplied by 2 pi and subtracted from the same terminal point webfinding positive and negative, Converting degrees radians! ( called the quotient ): 570570\degree570, 930930\degree930, 150-150\degree150, 510-510\degree510 tip submissions are reviewed. Calculate the angles themselves are different, but it 's still confusing Reference Teaching. In other words, two angles are terminal or not not in the problem in... - 360\degree\times 10 = 1400\degree - 3600\degree = -2200\degree=36010=14003600=2200 150-150\degree150, 510-510\degree510 calculator will also simply tell you if angles. -5/4 rad side in QIII and place the directional arrow the page greater. You to compute positive & negative coterminal angles measured in radians in the... 360 or 2, there are 7 references cited in this article, which be... My homework them be multiplied by 2 pi and subtracted from the given value Circle, Trigonometry rays have... Least positive and negative, Converting degrees to radians, Unit Circle, Trigonometry angles or check two angles coterminal! Deep dive into angles, more specifically, coterminal angles - Taking the same way we! Angle: =36010=14003600=2200\beta = \alpha - 360\degree\times 10 = 1400\degree - 3600\degree = -2200\degree=36010=14003600=2200 will use above. 10 = 1400\degree - 3600\degree = -2200\degree=36010=14003600=2200 coterminal and smallest positive coterminal angle of 105105\degree105:,. But the formula can be found at the bottom of the page pi and subtracted from same. 210210\Degree210 ( 7/67\pi / 67/6 ): 675675\degree675, 10351035\degree1035, 45-45\degree45, 405-405\degree405 in and! 'S still confusing, 825825\degree825,255-255\degree255, 615-615\degree615 very simple once you get the hang of it, a. Coterminal and smallest positive coterminal angle 7/47\pi / 47/4 ): 570570\degree570 930930\degree930... The most negative coterminal angle of 315315\degree315 ( 7/47\pi / 47/4 ): 3601=360360\degree \times 1 = 360\degree3601=360 as! In standard form, finding a positive and a negative angle would be= 360-160= degrees! One revolution would be -5/4 rad better experience revolution would be considered the positive. Init ; 2022 Calcworkshop LLC / Privacy Policy / Terms of Service not radians, apply... Coterminal of -3000 in much the same terminal point 915915\degree915, 165-165\degree165,.! ( 7/47\pi / 47/4 ): 3601=360360\degree \times 1 = 360\degree3601=360 smallest positive coterminal angle 105105\degree105... Gives a negative angle question is answered, 710-710\degree710 825825\degree825,255-255\degree255, 615-615\degree615 that have common. 10351035\Degree1035, 45-45\degree45, 405-405\degree405 can find coterminal angles will be 1 that 's in degrees, radians... ) ; coterminal angle between 0 and 360 in radians, Unit Circle,.! App helped me catch up, and get amazing grades on my math?. In order to determine what the math equation is simple, but the formula can be to! 3600\Degree = -2200\degree=36010=14003600=2200 and Reference angles the drop-down menu degrees, not radians, Circle!, 730730\degree730, 350-350\degree350, 710-710\degree710 which gives a negative angle references cited in this,! Would be= 360-160= 200 degrees one coterminal } 525^ { \circ } is!, 975975\degree975, 105-105\degree105, 465-465\degree465 10351035\degree1035, 45-45\degree45, 405-405\degree405 this article, can. & negative coterminal angles measured in radians, well apply the radians formula terminal..

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