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 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),(7 pi^(3))/(8) (d) none of these

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

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

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) 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

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 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 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