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Trigonometric functions of the unit cirlce.. 
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#1
Dec1206, 06:35 PM

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! 


#2
Dec1206, 06:53 PM

Mentor
P: 8,305

Your book is wrong. [tex] cosec(\frac{2\pi}{3}) = \frac{2\sqrt{3}}{3} [/tex]



#3
Dec1206, 06:58 PM

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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