SOLUTION: Prove that (1 - sin 2x)/(cos 2x)=(cos 2x)/(1 + sin 2x)

Question 195859: Prove that (1 - sin 2x)/(cos 2x)=(cos 2x)/(1 + sin 2x)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Prove that (1 - sin 2x)/(cos 2x)=(cos 2x)/(1 + sin 2x)
------------
Cross multiply
(1-sin(2x))*(1+sin(2x)) = cos^2(2x)
1 - sin^2(2x) = cos^2(2x) That's an identity.
RELATED QUESTIONS
prove: 2-cos^2x =... (answered by stanbon)

How to prove. cos 2x +1/sin 2x = sin 2x/1- cos... (answered by Alan3354)

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

Prove that [sin(2x) - cos(2x) +1] / [sin(2x) + cos(2x) -1] = tan (theta + pi/2)... (answered by ikleyn)

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

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

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

sin(2x)+cos(x)=1 (answered by AnlytcPhil)

Prove: 1-cot^2x/1+cot^2x=2cos^2-1 I tried this: LHS... (answered by Alan3354)