SOLUTION: I need help proving the following trigonometric identity. I can't seem to get the proof correct and can't figure out what I'm doing wrong. I am trying to use the basic laws of si

Algebra ->  Trigonometry-basics -> SOLUTION: I need help proving the following trigonometric identity. I can't seem to get the proof correct and can't figure out what I'm doing wrong. I am trying to use the basic laws of si      Log On


   

Question 360872: I need help proving the following trigonometric identity. I can't seem to get the proof correct and can't figure out what I'm doing wrong. I am trying to use the basic laws of sine and cosine to prove this identity but it doesn't seem to work. Thanks for your help!
Here's the identity:
sin%28theta%29%2F%281-cos%28theta%29%29%22%22-%22%22%0D%0A%281%2Bcos%28theta%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


sin%28theta%29%2F%281-cos%28theta%29%29%22%22-%22%22%281%2Bcos%28theta%29%29%2Fsin%28theta%29%22%22=%22%220

Multiply the first term by the conjugate of the denominator over
itself:

%22%22-%22%22%281%2Bcos%28theta%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0

+%28sin%28theta%29%281%2Bcos%28theta%29%29%29%2F%281-Cos%5E2theta%29%22%22-%22%22%0D%0A%281%2Bcos%28theta%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0

+%28sin%28theta%29%281%2Bcos%28theta%29%29%29%2F%28Sin%5E2theta%29%22%22-%22%22%0D%0A%281%2Bcos%28theta%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0


+%28cross%28sin%28theta%29%29%281%2Bcos%28theta%29%29%29%2F%28Sin%5Ecross%282%29theta%29%22%22-%22%22%281%2Bcos%28theta%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0


+%281%2Bcos%28theta%29%29%2F%28sin%28theta%29%29%22%22-%22%22%0D%0A%281%2Bcos%28theta%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0


+%28%281%2Bcos%28theta%29%29-%281%2Bcos%28theta%29%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0

+%281%2Bcos%28theta%29-1-cos%28theta%29%29%2Fsin%28theta%29%22%22=%22%22%0D%0A0

0%22%22=%22%220

Edwin