The least and the greatest values of `(sin^(-1)x)^3+(cos^(-1)x)^3` are (a)`(-pi)/2,pi/2` (b) `(-pi^3)/8,(pi^3)/8` (c)`(pi^3)/(32),(7pi^3)/8` (d) none of these

The value of cos^(-1)(cos(5pi)/3)+sin^(-1)(sin(5pi)/3) is pi/2 (b) (5pi)/3 (c) (10pi)/3 (d) 0

Statement-1: sin^(-1)tan((tan^(-1))x+tan^(-1)(1-x))] =(pi)/(2) has no non zero integral solution Statement-2: The greatest and least values of (sin^(-1)x)^(3)+(cos^(-1)x)^(3) are (7pi)^(3)/(8) and (pi)^(3)/(32) respectively

An extremum value of the function f(x)=(arc sin x)^(3)+(arc cos x)^(3) is (7 pi^(3))/(8) (b) (pi^(3))/(8)(c)(pi^(3))/(32)(d)(pi^(3))/(16)

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

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

The range of f(x)=sin^(-1)(sqrt(x^(2)+x+1)) is (0,(pi)/(2))(b)(0,(pi)/(3))(c)((pi)/(3),(pi)/(2)) (d) [(pi)/(6),(pi)/(3)]

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

sin^-1 (cos(sin^-1(sqrt(3)/2))= (A) pi/3 (B) pi/6 (C) - pi/6 (D) none of these

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

int_-pi^(3pi) cot^-1(cotx)dx= (A) pi^2 (B) 2pi^2 (C) 3pi^2 (D) none of these