a=(1+sin x)/(1-cos x+sin x)rArr(1+cos x+sin x)/(2sin x)=

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

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

(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) .

lim_(x rarr0)(1-cos x)/(sin x)

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

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

Let f(x)=((2sin x+sin2x)/(2cos x+sin2x)*(1-cos x)/(1-sin x));x in R Consider the following statements.

(cos^(3) x- sin^(2) x)/(cos x - sin x)=(1)/(2) (2 + sin 2x)

Ltquad x rarr0 (1-cos ^ (2) (sin x) -cos (sin ^ (2) x) + cos ^ (2) (sin x) cos (sin ^ (2) x)) / (x ^ ( 6)) =