SOLUTION: Verify the identity 2cos2x-2/sin2x = cotx-secxcscx-tanx on paper it looks like this 2cos2x-2 --------- (divide line) = cotx-secxcscx-tanx sin2x

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the identity 2cos2x-2/sin2x = cotx-secxcscx-tanx on paper it looks like this 2cos2x-2 --------- (divide line) = cotx-secxcscx-tanx sin2x      Log On


   

Question 809488: Verify the identity
2cos2x-2/sin2x = cotx-secxcscx-tanx
on paper it looks like this
2cos2x-2
--------- (divide line) = cotx-secxcscx-tanx
sin2x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Verify the identity
2cos2x-2/sin2x = cotx-secxcscx-tanx
***
Start with right side:
cotx-secxcscx-tanx
cos%28x%29%2Fsin%28x%29-%281%2Fcos%28x%29%29%281%2Fsin%28x%29%29-sin%28x%29%2Fcos%28x%29
LCD:sin(x)cos(x)
%28cos%5E2%28x%29-1-sin%5E2%28x%29%29%2F%28sin%28x%29cos%28x%29%29
%28cos%282x%29-1%29%2F%28sin%28x%29cos%28x%29%29
multiply top and bottom by 2
%282cos%282x%29-2%29%2F%282sin%28x%29cos%28x%29%29=%282cos%282x%29-2%29%2F%28sin%282x%29%29
verified: right side=left side