SOLUTION: Find all vertical asymptotes of the function f(x) = 9/2sin^2 x − sinx − 1 in the interval [0,2π], expressing your answers in radians.

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Question 1045954: Find all vertical asymptotes of the function f(x) = 9/2sin^2 x − sinx − 1
in the interval [0,2π], expressing your answers in radians.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+9%2F%282sin%5E2%28x%29+-+sinx-1%29+=+9%2F%28%28+2sinx%2B1%29+%28+sinx+-+1++%29%29.
Let 2sinx +1 = 0, or sinx - 1 = 0.
===> sinx = -1/2, or sinx = 1.
===> x+=+7pi%2F6, x+=+11pi%2F6, or x=+pi%2F2.
These are also the equations for the vertical asymptotes.