SOLUTION: Please need help with verifying the identities. I don't know if my answers are correct for the first image. The second image I have no clue on, I bet it's easy but it's not clickin

Algebra ->  Trigonometry-basics -> SOLUTION: Please need help with verifying the identities. I don't know if my answers are correct for the first image. The second image I have no clue on, I bet it's easy but it's not clickin      Log On


   

Question 923764: Please need help with verifying the identities. I don't know if my answers are correct for the first image. The second image I have no clue on, I bet it's easy but it's not clicking....

http://i.imgur.com/hARvPSD.png
http://i.imgur.com/W0hd9S7.png

Please explain
Thanks
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

your answer is correct for the first image

check: start with

%28%28sin%28x%29%2Bcos%28x%29%29%5E2%29%2F%28sin%5E2%28x%29-cos%5E2%28x%29%29
=

=%28sin%28x%29%2Bcos%28x%29%29%28+sin%28x%29-cos%28x%29%29%2F%28+sin%28x%29-cos%28x%29%29

=

=%28+sin%5E2%28x%29-cos%5E2%28x%29%29%2F%28%28+sin%28x%29-cos%28x%29%29%5E2%29

2.

8csc%28x%29%2F%28csc%28x%29-cot%28x%29%29=8csc%28x%29%28csc%28x%29%2Bcot%28x%29%29



%288csc%28x%29%28csc%28x%29%2Bcot%28x%29%29%29%2F%28csc%5E2%28x%29-cot%5E2%28x%29%29

since csc%5E2%28x%29-cot%5E2%28x%29=1

%288csc%28x%29%28csc%28x%29%2Bcot%28x%29%29%29%2F1

%288csc%28x%29%28csc%28x%29%2Bcot%28x%29%29%29