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Let a = cos^(-1) cos 20, b = cos^(-1) co...

Let `a = cos^(-1) cos 20, b = cos^(-1) cos 30 and c = sin^(-1) sin (a + b)` then
The largest integer x for which `sin^(-1) (sin x) ge |x -(a + b + c)|` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`a = 20 - 6pi, b = 10 pi - 30, c = sin^(-1) sin(4pi - 10) = 10 - 3pi`
So, `a + b + c = pi`
`sin^(-1) sin x ge |x -pi| rArr x in [(pi)/(2), pi]`
So, largest integer x = 3
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