SOLUTION: Prove the following identity: tan(x)sin(x)/tan(x)+sin(x)=tan(x)-sin(x)/tan(x)sin(x). Please do only one side to prove the other. Thanks in advance!

Algebra ->  Trigonometry-basics -> SOLUTION: Prove the following identity: tan(x)sin(x)/tan(x)+sin(x)=tan(x)-sin(x)/tan(x)sin(x). Please do only one side to prove the other. Thanks in advance!       Log On


   

Question 924084: Prove the following identity: tan(x)sin(x)/tan(x)+sin(x)=tan(x)-sin(x)/tan(x)sin(x). Please do only one side to prove the other. Thanks in advance!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove the following identity: tan(x)sin(x)/tan(x)+sin(x)=tan(x)-sin(x)/tan(x)sin(x).
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%28tanxsinx%29%2F%28tanx%2Bsinx%29=%28tanx-sinx%29%2F%28tanxsinx%29
start with left side:




verified:left side=right side
...


%28sin%5E4%28x%29%29%2F%28sin%5E2%28x%29-cos%5E2%28x%29sin%5E2%28x%29%29