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

int(2sin x)/((3+sin2x))dx is equal to (1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(2sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(4)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+cnone of these

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

The value of int_((pi)/(6))^((pi)/(2))((1+sin2x+cos2x)/(sin x+cos x))dx is equal to

4sin x cos x+2sin x+2cos x+1=0

int( cos 2 x)/(sin x+cos x)^2 d x is equal to a) -1/(sin x+cos x)+C b) log |sin x+cos x|+C c) log |sin x-cos x|+C d) 1(sin x+cos x)^2

(sin x + cos x)^2 + (sin x - cos x)^2

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

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

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

Prove that: (1+sin2x-cos2x)/(1+sin2x+cos2x)=tanx