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 sin^(-1)(3/(sqrt(73)))+cos^(-1)((11)/(sqrt(146)))+cot^(-1)sqrt(3) is (A) (5pi)/(12) (B) (17pi)/(12) (C) (7pi)/(12) (D) None of these

An extremum value of the function f(x)=(a r csinx)^3+(a r ccosx)^3 is (7pi^3)/8 (b) (pi^3)/8 (c) (pi^3)/(32) (d) (pi^3)/(16)

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

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 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

The range of f(x)=sec^(-1)((log)_3tanx+(log)_(tanx)3) is (a) [pi/3,pi/2]uu[pi/2,(2pi)/3] (b) [0,pi/2] (c) ((2pi)/3,pi) (d) none of these

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

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

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