" 8."(sin x)/(1+cos x)=(1+cos x)/(sin x)=2cosec x

int(sin x cos x)/(1+sin x+cos x)

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

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

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

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

If Delta (x)= |(1,cos x,1-cos x),(1+sin x ,cos x,1+sin x-cos x),(sin x,sin x,1)| , then int_(0)^(pi//2) Delta (x) dx= a) (-1)/(2) b) (1)/(2) c)1 d) -1

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