Question

What is an angle between 0 and 2pi that is coterminal with -5pi/6?

Answer 1

Add 2pi to that given angle to get ???

Answer 2

210 degrees?

Answer 3

\[\Large -\frac{5\pi}{6} + 2\pi = ???\]

in terms of pi (in radians)

Answer 4

3.67

Answer 5

I was aiming more for this

\[\Large -\frac{5\pi}{6} + 2\pi = \Large -\frac{5\pi}{6} + 2\pi*\frac{6}{6}\]

\[\Large -\frac{5\pi}{6} + 2\pi = \Large -\frac{5\pi}{6} + \frac{12\pi}{6}\]

\[\Large -\frac{5\pi}{6} + 2\pi = \Large \frac{-5\pi+12\pi}{6}\]

\[\Large -\frac{5\pi}{6} + 2\pi = \Large \frac{7\pi}{6}\]

Answer 6

notice how I did not approximate pi and left it alone

Answer 7

both angles are in quadrant 3

Answer 8

O yes that makes sense. how would I do the opposite like if had to find something coterminal with 675 degrees?

Answer 9

keep subtracting 360 degrees from your angle until you end up in the interval [0, 360)

Answer 10

degrees are easier to work with in my opinion since you often don't have fractions and you won't have to deal with pi

Answer 11

Yes degrees are much easier! Thank you for your help

Answer 12

you're welcome