`Let alpha = tan^-1 (1/2)+tan^-1(1/3)`,`beta=cos^-1(2/3)+cos^-1(sqrt5/3)`, `gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3))` `sincot^-1 tancos^-1 (sin gamma)` is equal to (A) `2singamma` (B) `sin(gamma/2)` (C) `1/2 sin gamma` (D) `cosgamma`

Let alpha = tan^-1 (1/2)+tan^-1(1/3) , beta=cos^-1(2/3)+cos^-1(sqrt5/3) , gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3)) The value of cos(alpha+beta+gamma) is equal to (A) cos((5pi)/12) (B) cos ((7pi)/12) (C) -cos(pi/12) (D) -cos ((7pi)/12)

Let alpha = tan^-1 (1/2)+tan^-1(1/3) , beta=cos^-1(2/3)+cos^-1(sqrt5/3) , gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3)) cosalpha+cosbeta+cosgamma is equal to (A) (sqrt(2)-1)/2 (B) (sqrt(2)+1)/2 (C) (sqrt(2)+sqrt(3))/2 (D) ((sqrt(3)-sqrt(2))/2

If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)/2)+cos^(-1)(1/3) then

If sin^-1 x+sin^-1=(2pi)/3, then cos^-1 x cos^-1 y is equal to

If sin^(-1)x+sin^(-1)y=(2pi)/3 , then cos^(-1)x+cos^(-1)y is equal to

What is the value of cos^(-1)(cos(2pi)/3)+sin^(-1)(sin(2pi)/3) ?

Evaluate the following: sin^(-1)(sin(pi)/(4)) (ii) cos^(-1)(cos2(pi)/(3))tan^(-1)(tan(pi)/(3))

Evaluate the following: 1*sin^(-1)(sin(2 pi)/(3))2cos^(-1)(cos(7 pi)/(6))3*tan^(-1)(tan(2 pi)/(3))