SOLUTION: Verify the identity sinx/1-cosx = cscx +cotx. I switched the cscx with 1/sinx and cotx with 1/tanx but i dont know how to get the right side to look like the left. :[

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the identity sinx/1-cosx = cscx +cotx. I switched the cscx with 1/sinx and cotx with 1/tanx but i dont know how to get the right side to look like the left. :[      Log On


   

Question 763429: Verify the identity sinx/1-cosx = cscx +cotx.
I switched the cscx with 1/sinx and cotx with 1/tanx but i dont know how to get the right side to look like the left. :[
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

csc+%28x%29+%2B+cot+%28x%29
= sin+%28x+%29%28csc%5E2+%28x%29+%2B+cos+%28x%29+csc%5E2%28+x%29%29
=+sin%28+x%29+csc%5E2+%28x%29+%281+%2B+cos+x%29
= sin+%28x%29+%281+%2B+cos+x%29+%2F+sin%5E2+%28x%29
= sin+%28x%29+%281+%2Bcos+x%29+%2F+%281+-cos%5E2+%28x%29%29
=+sin+%28x+%29%281+%2Bcos+x%29+%2F+%28%281+-cos+%28x%29%29%281%2Bcos%28x%29%29%29
=
= sin+%28x%29+%2F+%281+-+cos+x%29