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

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

For the principal values, evaluate each of the following : (i) cos^(-1) (1/2)+2sin^(-1) (1/2) (ii) cos^(-1)(1/2)-2sin^(-1)(-1/2)

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x) = (pi)/(2), |x| le 1

If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 cos^(-1) (1/8)) , then

The value of 2cos^(-1)(-1/2)-2 sin^(-1)(-1/2)-cos^(-1)(-1) is

Simplify (i) sin(pitan{cot^(-1)((-2)/3)}) (ii) sin(2"tan"^(-1)1/2) (iii) cos(2cos^(-1)(1//5)+sin^(-1)(1//5))

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

Evaluate the following : sin ^(2) ( cos ^(-1) . 1/2) + cos^(2) ( sin^(-1) . 1/3) .

Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))