The value of sin^(-1){cot(sin^(-1)(sqrt(...

The value of `sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)sqrt2)}` is

A

0

B

` (pi)/(4)`

C

`(pi)/(6)`

D

` (pi)/(2)`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/(4))+cos^(-1)(sqrt(12))/(4)+sec^(-1)sqrt(2))} is equal to (pi)/(4) (b) (pi)/(2)(c)0(d)-(pi)/(2)

sin^(-1){cot(sin^(-1)(sqrt((2-sqrt(3))/(4))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))}

The value of cos^(-1)[cot(sin^(-1)(sqrt((2-sqrt(3))/(4)))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))

The value of sin^(-1)(cot(sin^(-1)((2-sqrt(3))/(4)+(cos^(-1)(sqrt(12)))/(4)+sec^(-1)sqrt(2))))(a)0( b) (pi)/(2)( c) (pi)/(3)( d) none of these

The value of sin^(-1)[cos{sin^(-1)(-sqrt(3)/(2))}] is

sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

1. sin^(-1) (1/sqrt2) 2. cos^(-1) (sqrt3/2)