[" ii) "(1-cos x)/(cos x(1+cos x))],[" iii) "(1)/(sin(x-alpha)sin(x-b))]

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

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

Solve sin x+cos x=1 +sin x 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

Differentiate the following w.r.t. x (i) cos ^(-1)(sin x) (if) tan ^(-1)(sin x/(1+cos x)) (iii) sin ^(-1)((2^(x+1))/(1+4^x))

If ( cos x - cos alpha)/(cos x - cos beta) = ( sin^2 alpha cos beta)/(sin^2 beta cos alpha) then 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 ^ (2) x) / (1 + cos x) + (1 + cos x) / (sin x) - (sin x) / (1-cos x) =