" (iii) "sin x sqrt((1-cos2x)/(2))

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

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

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

Prove that int_(0)^(pi//2)(cos^(2) x sin x)/(sqrt(1+cos^(2)x))dx = (sqrt(2) - log(sqrt(2) + 1))/2

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))