`sin^-1(sqrt(3)/2) - sin^-1(1/2)`

The value of sin^-1 (sqrt(3)/2)+ sin^-1 (1/sqrt(2)) is equal to (A) sin^-1 ((sqrt(3+1))/(2sqrt(2))) (B) pi-sin^-1 ((sqrt(3+1))/(2sqrt(2))) (C) pi+sin^-1 ((sqrt(3+1))/(2sqrt(2))) (D) none of these

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

Find the principal value of: i) sin^(-1)(sqrt(3)/2) ii) sin^(-1)(1/2) iii) cos^(-1)(1/2) iv) tan^(-1)(1) v) tan^(-1)(1/sqrt(3)) vi) sec^(-1)(2/sqrt(3)) , vii) "cosec"^(-1)(sqrt(2)) .

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

Find the principal values of sin^(-1)((sqrt(3))/(2))(b)sin^(-1)(-(1)/(2))

sin^(-1)((sqrt(3))/(2))-tan^(-1)(-sqrt(3))