" 14."(1)/(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

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

The number of solutions of the equation sin^(5)x-cos^(5)x=(1)/(cos x)-(1)/(sin x)(sin x!=cos x)

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

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

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

If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}| , then (dy)/(dx) is

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

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

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