how to find the coterminal angle of a radian?

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I am stuck now. My teacher said i have to leave it in this form is the raidan form i think that what it call. you know pi/x. i thought we were suppose to convert to a angle first then find a positive and an negative angle. Find one positive angle and one negative angle that are coterminal with the given angle. 19. 9pi/220. -7pi/6 yeah please help!!!!

Prof. Cristobal Welch · Accepted Answer

Hello!Remember, finding the coterminal angle of an angle in degrees is obtained by adding or subtracting by multiplies of 360. The same concept goes for radians. Since 360 degrees = 2π radians:9π/2 + 2π==> 9π/2 + 4π/2 ==> 13π/2 would be a positive coterminal angleTo find a negative angle, subtract by 6π radians, to ensure a negative answer:9π/2 – 6π==> 9π/2 – 12π/2==> -3π/2 radians would be a negative coterminal angleFor #20:-7π/6 is already negative, so we just have to subtract by 2π radians to obtain a negative coterminal angle:-7π/6 – 2π==> -7π/6 – 12π/6==> -19π/6 radians would be a negative coterminal angleTo ensure a positive coterminal angle, we would add by 2π radians:-7π/6 + 2π==> -7π/6 + 12π/6==> 5π/6 radians would be a positive coterminal angleI hope this helps!Sincerely,Mr.Math

Prof. Cristobal Welch · Answer

Positive Coterminal Angle

Prof. Cristobal Welch · Answer

How To Find Coterminal Angles

Prof. Cristobal Welch · Answer

In ranges, coterminal angles are 360 deg aside; in radians, they’re 2pi aside. To get one pos and one neg answer, all you may desire to do is upload and subtract 2pi (or 4pi, or 6pi, …) from each and every perspective. (a) 5pi/7 + 2pi 5pi/7 + 14pi/7 19pi/7

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how to find the coterminal angle of a radian?

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