" 40."x+30" " "8" frefeare for "sin x=sqrt((1-cos2x)/(2))

int sin x sqrt(1-cos2x)dx

int sin x sqrt(1-cos2x)dx

int sin x sqrt(1+cos2x)dx

If x=30o, verify that : tan2x=(2tan x)/(1-tan^(2)x) (ii) sin x=sqrt((1-cos2x)/(2))

If sin x + sin ((pi)/(8) sqrt((1 - cos 2 x)^(2) + sin ^(2) 2 x)) = 0, x e [(5 pi)/(2), (7 pi)/(2)] , then x is

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

Solve sin x+sin sqrt(((pi)/(8)(1-cos2x)^(2)+sin^(2)2x))=0

If tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))= ........................... A) (2 sin x)/(sqrt(sin2x)) B) (2 cos x)/(sqrt(cos2x)) C) (2 cos x)/(sqrt(sin2x)) D) (2 sin x)/(sqrt(cos2x))

The value of int(sin x+cos x)/(sqrt(1-sin2x))dx is equal to sqrt(sin2x)+C(b)sqrt(cos2x)+C(c)+-sin x-cos x)+C(d)+-log(sin x-cos x)+C

Statement -1: if -1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x Statement-2: If -1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))