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

(sin x)/(1+cos x)

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

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

If x , y in R , then the determinant = |(cos x , -sin x,1),(sin x, cos x,1),(cos(x+y), -sin(x+y), 0)| lies in the interval (a) [-sqrt(2),sqrt(2)] (b) [-1,1] (c) [-sqrt(2),1] (d) [-1,-sqrt(2)]

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

lim_(xto(pi)) (1-sin(x/2))/(cos(x/2)(cos(x/4)-sin(x/4)))

Prove that sin (cos^(-1) x) = cos (sin^(-1) x)

tan^(-1) ((1-cos x)/(sin x))

then value of the expression sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x))) , x∈( π/2 ,π)