" 5."(1)/(2+sin x+cos x)

Integrate the following: int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx

The number of solutions of the equation sin^(5)x-cos^(5)x=(1)/(cos x)-(1)/(sin x)(sin x!=cos x)

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

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

int(1)/(sin^(2)x+2sin x cos x +5 cos^(2)x)dx=

The solutions of the equation 1+(sin x - cos x)"sin" pi/4=2 "cos"^(2) (5 x)/2 is/are

The solutions of the equation 1+(sin x - cos x)"sin" pi/4=2 "cos"^(2) (5 x)/2 is/are

The solutions of the equation 1+(sin x - cos x)"sin" pi/4=2 "cos"^(2) (5 x)/2 is/are

Prove that , tan^(-1)((2 sin 2x)/(1+2 cos 2x))-(1)/(2)sin^(-1)((3 sin 2x)/(5+4 cos 2x))=x .