sin^(-1)((1)/(sqrt(2)))" Principle value "

Find the principal value of each of the following :(i)(sin^(-1)1)/(2)-2(sin^(-1)1)/(sqrt(2))( ii) sin^(-1){cos(sin^(-1)(sqrt((3)/(2)))}^(sqrt(2))

Find the value of sin^(-1)sin((sqrt(3)-1)/(2sqrt(2)))

Principal value of sin^(-1)(1)+sin^(-1)((1)/(sqrt2)) is

Find the value of sin^(-1)(cos(sin^(-1)((sqrt(3))/(2))))

Evaluate the value of tan^(-1) (-sqrt(3)) +cos^(-1) (1/(sqrt(2))) + sin^(-1) (-(sqrt(3))/2)

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

The value of sin(1/4sin^(-1)((sqrt(63))/8)) is (a) 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

Find the values of the followings : sin^(-1)(1/sqrt2)-3"sin"^(-1)sqrt3/2