SOLUTION: 1/1-cos^2x=1+cot^2x please prove

Algebra ->  Trigonometry-basics -> SOLUTION: 1/1-cos^2x=1+cot^2x please prove      Log On


   

Question 230149: 1/1-cos^2x=1+cot^2x please prove
Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
1/1-cos^2x=1+cot^2x

L.H.S
1/1-cos^2x
By using sin^2x+cos^2x=1
1/sin^2x
try to make cos^2x/sin^2x since it equals to cot^2x
(1/(sin^2x)*(cos^2x/(cos^2x)
(cos^2x/sin^2x)*(cos^2x)
cot^2x+1 (proven)

there might be more easier way to prove it.