The value of `sin^(-1)(-sqrt(3)//2)\ ` is- a.`-pi//3` b. `-2pi//3` c.`4pi//3` d. `5pi//3`

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (2pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

The amplitude of (1+isqrt(3))/(sqrt(3)+i) is a. pi/3 b. -pi/3 c. pi/6 d. -pi/6

The value of sin^(-1)(-sqrt3/2)+cos^(-1)(cos\ (7pi)/6) is a. (5pi)/6 b. pi/2 c. (3pi)/2 d. none of these

The value of sin^(-1)(cos(33pi)/5) is (a) (3pi)/5 (b) -pi/(10) (c) pi/(10) (d) (7pi)/5

The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) pi/(10) (d) (7pi)/5

If costheta+sqrt(3)sintheta=2, then theta= a. pi//3 b. 2pi//3 c. 4pi//3 d. 5pi//3

The value of cos^(-1)(-1)-sin^(-1)(1) is: a. pi b. pi/2 c. (3pi)/2 d. -(3pi)/2

The value of int_0^pi1/(5+3cosx)dx is a. pi//2 b. pi//4 c. 0 d. pi//8

The smallest positive angle which satisfies the equation 2sin^2theta+sqrt(3)costheta+1=0 is (5pi)/6 b. (2pi)/3 c. pi/3 d. pi/6

A value of theta satisfying costheta+sqrt(3)\ sin theta=2 is a. (5pi)/3 b. (4pi)/3 c. (2pi)/3 d. pi/3