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

Simplified value of sin [ (pi)/(2) - sin^(-1) (- (sqrt3)/(2)) ] is :

sin^(-1)(sin (3 pi)/(5))

Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) sin(pi/2 - sin^(-1)(- sqrt3/2))

A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, is : (1) pi/3 (2) pi/6 (3) sin^(-1)((sqrt(3))/4) (4) sin^(-1)(1/(sqrt(3)))

sin^(-1){cos(sin^(-1)(sqrt(3)/2))}

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

Evaluate : sin[pi/2 - sin^(-1) (- sqrt(3)/2)]

If sin^(-1)(tan(pi/4))-sin^(-1)(sqrt(3/y))-(pi)/6=0 and x^(2)=y then x is equal to

Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)/3))

Find the value of sin^(-1)[cos{sin^(-1)(-(sqrt(3))/2)}]