# Trigonometric functions of the unit cirlce..

by AznBoi
Tags: cirlce, functions, trigonometric, unit
 P: 471 I just came across a problem that wants you to solve for csc of an angle in radians... However, I'm confused about the answer given. Here is the problem: Find the csc when t=-2pi/3, which is equivalent to -120 degrees right? I got -2sqrt.(3)/3 but the answer in the back is -2sqrt.(3)/2 Why is it a 2 instead of a three?? The sin is -sqrt.(3)/2 and it is correct, so shouldn't the csc be the reciprocal of sin?? 1/sin theta?? so 1/(-2sqrt.(3)/3)???????? Thanks!
 Mentor P: 8,262 Your book is wrong. $$cosec(\frac{-2\pi}{3}) = \frac{-2\sqrt{3}}{3}$$
 P: 471 wow... I think I've actually seen quite a few with 2's as the denominator. I'm pretty sure that I was right and the book was wrong. I'm astonished though, this book sucks! =/ Thanks for helping me check btw!! =]

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