`sin(pi/3-sin^(-1)(-1/2))`is equal to(A) `1/2` (B) `1/3` (C) `1/4` (D) 1

sin^(-1)(0) is equal to : (a) 0 (b) pi/6 (c) pi/2 (d) pi/3

The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

The value of tan^(-1)(1)+cos^(-1)(-(1)/(2))+sin^(-1)(-(1)/(2)) is equal to (pi)/(4)b*(5 pi)/(12)c*(3 pi)/(4)d.(13 pi)/(12)

(lim)_(x rarr)(sin^(4)x-sin^(2)x+1)/(cos^(4)x-cos^(2)x+1) is equal to (a) 0( b) 1 (c) (1)/(3)(d)(1)/(2)

sin^(-1)(1-x)-2sin^(-1)x=(pi)/(2), then x is equal to (A)0,(1)/(2)(B)1,(1)/(2)(C)0(D)(1)/(2)

If z_(k)=cos((k pi)/(10))+i sin((k pi)/(10)), then z_(1)z_(2)z_(3)z_(4) is equal to (A)-1 (B) 2(C)-2 (D) 1

int_(-pi//2)^(pi//2)"sin"|x|dx is equal to 1 (b) 2 (c) -1 (d) -2

int_0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) pi//2 (d) pi//4