Question

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Answer 1

Do you know your Pythagorean Identities for your trig functions?

Answer 2

Alright, so if you had to solve that for sin^2 theta, what would you get?

Answer 3

http://www.wolframalpha.com/input/?i=%281-cos%5E2%28x%29%29%2F%281-cos%28x%29%29

Answer 4

this might be helpful idk

Answer 5

Give me a minute to check on all my identities so I take you the shortest, most direct way here, ok?

Answer 6

one solution
multiply the top and bottom by 1 + cos theta
use the identity 1- cos sq theta = sin sq theta
divide by sin sq theta
1 + cos theta

Answer 7

Here is my step by step It's long but it makes sense. I go about things the long way usually because I don't skip a step or make an error. The first line would bebecause this is one of our double angle identities. The next line would bebecause cos(2x) = 2 cos^2x - 1. The next line would beThere I added the 1 and the 1 after I changed the sign inside the parenthesis. Next would beNow the numerator is the difference of perfect squares that actually factors very nicely!