Coterminal Angles

I need help with this.. it's for my midterm review. My midterm is next week. I would appreciate the help.

Determine two coterminal angles (one positive and one negative) for each angle. The answer must be in degrees.

a) 36 degrees
b) -120 degrees
c) 300 degrees
d) -420 degrees

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  1. adding or subtracting multiples of 360º to any angle will result in the rotating arm ending in the same position, thus giving you "coterminal" angles

    so 36º + 360º = 396º
    36 - 360 = -324

    so that to each of your angles.
    (for -420 you will have to add 720 to obtain a positive result)

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  2. Thx! I really do understand it now. What if they give me like pi/9.... How do i find two coterminal angles (one positive and one negative) in RADIANS.

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  3. 360 degrees is 2 pi radians so adding or subtracting 2 pi (or a multiple of 2 pi) to an angle in radians brings you to the same place.

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  4. -120 degree

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  5. 480 degre

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  6. how do i get a coterminal angle from something like pi/6 ????????

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  7. 820

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  8. I need help on coterminals, I have NO! idea on how to do it

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  9. so I have the conterminal angle of 111 degree. So do I add and subtract with 360 degree or 180 degree?

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  10. lol this was one of my final questions for trig/precal

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