If `(sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4`, then the value of `2 tan^(2)x` is

sin^(4)x+cos^(4)x=1-2sin^(2)x cos^(2)x

Solve (1+sin^2x-cos^2x)/(1+sin^2x+cos^2x)

if sin x+sin^(2)x=1, then the value of cos^(2)x+cos^(4)x is

If 2^(sin x+cos y)=1 and 16^(sin^(2)x+cos^(2)y)=4 , then find the value of sin x and cos y

If f(x)=(4cos^(4)x-2cos^(2)x-(1)/(2)cos4x+2sin^(2)x-x^(9))^((1)/(9)) then the value of f(f(2)) is equal to

If f(x)=|(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(sin^(2)x,cos^(2)x,1+4sin2x)| then the maximum value of f(x) is

If cos x+ cos ^(2) x=1,. then the value of sin ^(2) x+ sin ^(4) x is

If cos x+ cos ^(2) x=1,. then the value of sin ^(2) x+ sin ^(4) x is

If (sin x + cos x)/(sin x - cos x) = (6)/(5) , then the value of (tan^(2) x + 1)/(tan^(2) x-1) is :