" 3."cos^(-1)(sqrt((1+cos x)/(2)))

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((sqrt(10)-1)/(3sqrt2))=cos^(-1) (2/3)

Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((sqrt(10)-1)/(3sqrt2))=cos^(-1) (2/3)

show that, tan^(-1) ((1)/(sqrt(3)) tan ""(x)/(2))=(1)/(2) cos^(-1) ""((1+2 cos x)/(2+ cos x)).

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

Prove that : "cos"^(-1)sqrt((2)/(3))-"cos"^(-1)(sqrt(6)+1)/(2sqrt(3))=(pi)/(6)

the value of cos^(-1)sqrt((2)/(3))-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to:

The equation sin ^(-1) x-cos ^(-1) x=cos ^(-1) (sqrt((3))/(2)) has

Simplest form of tan^(-1)((sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))), pi lt x lt (3 pi)/(2) is: