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

The maximum value of cos x ((cos x )/( 1- sin x) + (1- sin x)/( cos x) ) is

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

Solve sin x+cos x=1 +sin x cos x

int(cos x+sin x)/(cos x-sin x)(1-sin2x)dx

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

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

Maximum value of cos x((cos x)/(1-sin x)+(1-sin x)/(cos x))