If `tan(pi/4+y/2)=tan^3(pi/4+x/2)dot` Prove that `(siny)/(sinx)=(3+sin^2x)/(1+3sin^2x)` .

If tan((pi)/(4)+(y)/(2))=tan^(3)((pi)/(4)+(x)/(2))* Prove that (sin y)/(sin x)=(3+sin^(2)x)/(1+3sin^(2)x)

Prove that : (1-sin2x)/(1+sin2x)= tan^2 (pi/4-x) .

If tan((pi)/(4)+(y)/(2))=tan^(3)((pi)/(4)+(x)/(2)) then (3+sin^(2)x)/(1+3sin^(2)x)=

Prove that (1- sin 2x)/(1+ sin 2x) = tan^(2) .((pi)/(4)-x)

if tan ((pi)/(4)+(y)/(2))=tan^(3)((pi)/(4)+(x)/(2)) then (3+sin^(2)x)/(1+3sin^(2)x)=

Prove that (sin 4x + sin 2x)/(cos 4x + cos 2x) = tan 3x .

tan^(-1)2x+tan^(-1)3x=(pi)/(4)

If tan^(3) (alpha/2+ pi/4) = tan(beta/2 +pi/4) then prove that sin beta = ((3 + sin^(2)alpja) sin alpha) /(1 + 3sin^(2)alpha)

Prove that int_(0)^(pi//2) tan^(-1)(sin x) .sin 2x = (pi)/(2)-1