SOLUTION: Prove: 1-cot^2x/1+cot^2x=2cos^2-1 I tried this: LHS =1-(cos^2x/sin^2x)/csc^2x =(sin^2x-cos^2x/sin^2x)/(1/sin^x) =sin^2x-cos^2x/sin^2x(sin^2x/1) sin^^2x-cos^2x RH

Question 889242: Prove:
1-cot^2x/1+cot^2x=2cos^2-1

I tried this:
LHS
=1-(cos^2x/sin^2x)/csc^2x
=(sin^2x-cos^2x/sin^2x)/(1/sin^x)
=sin^2x-cos^2x/sin^2x(sin^2x/1)
sin^^2x-cos^2x
RHS
2cos^2-1=cos(2x)

So, after this, I don't know what to do. Thank you!

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sin^2(x) - cos^2(x) = cos(2x)
RELATED QUESTIONS
(1-cot^2x)/(1 + cot^2x) = (sin^2x -... (answered by robertb)

sin^2x - sin^4x = (cos^2)(sin^2x) sin^2x - (sin^2x)(sin^2x) = (cos^2x)(sin^2x) sin^2x (answered by jim_thompson5910)

prove: 2-cos^2x =... (answered by stanbon)

Prove sin^2x+cot^2x+cos^2x=csc^2x 1-cos^2x+(cos^2x/sin^2x)+1-sin^2x=csc^2x I'm not (answered by lwsshak3)

Prove the identity: {{{2Cos^2x -1 = Cos^2x... (answered by Edwin McCravy)

Prove each of the following trigonometric identities. 1) sin x sin 2x + cox x cos 2x = (answered by MathLover1)

sin(3x)/sin x= 2 cos(2x)+1 cot x/(csc x+1)= (csc x -1)/cot x (answered by Edwin McCravy)

sin^2x ? 1-cos... (answered by Alan3354)

sin x = cos 2x -... (answered by jsmallt9)