SOLUTION: Prove the following: (sec(x)-cos(x))(csc(x)-sin(x))=tan(x)/1+tan^2(x) .do only one side please. Thank you in advance. I apologize for sending this twice, the first time instead of

Algebra ->  Trigonometry-basics -> SOLUTION: Prove the following: (sec(x)-cos(x))(csc(x)-sin(x))=tan(x)/1+tan^2(x) .do only one side please. Thank you in advance. I apologize for sending this twice, the first time instead of       Log On


   

Question 924905: Prove the following: (sec(x)-cos(x))(csc(x)-sin(x))=tan(x)/1+tan^2(x) .do only one side please. Thank you in advance. I apologize for sending this twice, the first time instead of '1' I wrote 'a'.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove the following: (sec(x)-cos(x))(csc(x)-sin(x))=tan(x)/1+tan^2(x) .do only one side please. Thank you in advance. I apologize for sending this twice, the first time instead of '1' I wrote 'a'.
***
%28secx-cosx%29%28cscx-sinx%29=tanx%2F%281%2Btan%5E2%28x%29%29
start with left side:

tanxcos%5E2%28x%29=tanx%2Fsec%5E2%28x%29=tanx%2F%281%2Btan%5E2%28x%29%29
verified: left side =right side