" 14."(1)/((sin x-2cos x)(2sin x+cos x))

Evaluate: int(1)/((sin x-2cos x)(2sin x+cos x))dx

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

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

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

(1+sin x+cos x)^(2)=2(1+sin x)(1+cos 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 x+cos x+sin2x+cos2x)/(tan2x)=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

if a=(1+sin x)/(1-cos x+sin x) then (1+cos x+sin x)/(2sin x) is

Prove that: (i) (1+"sin" 2theta-cos 2theta)/(1+"sin" 2theta+cos 2theta)="tan" theta . (ii) 2 tan 2x=(cos x+"sin" x)/(cos x-"sin" x)-(cos x-"sin" x)/(cos x+"sin" x) .