" 6."(i)quad (cos x)/(1-sin x)+(1-sin x)/(cos x)=2sec x

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

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

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) .

Prove that (cos 3 x)/(sin 2 xsin 4x)+(cos 5x)/(sin 4xsin 6x)+(cos 7x)/(sin 6xsin 8x)+(cos 9x)/(sin 8x sin 10x) =(1)/(2) (co sec x)[co sec2x-co sec 10x]

Prove that (cos 3 x)/(sin 2 xsin 4x)+(cos 5x)/(sin 4xsin 6x)+(cos 7x)/(sin 6xsin 8x)+(cos 9x)/(sin 8x sin 10x) =(1)/(2) (co sec x)[co sec2x-co sec 10x]

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

If sin x ( cos ""(x)/( 4) - 2 sin x) + ( 1 + sin "" (x)/( 4) - 2 cos x) cos x = 0 then 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

3. (sin x+cos x)(1-sin x cos x)=sin^(3)x+cos^(3)x

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