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)|` isA. 1B. 2C. 3D. 4

Let `a = cos^(-1) cos 20, b = cos^(-1) cos 30 and c = sin^(-1) sin (a

1.	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)\|` isA. 1B. 2C. 3D. 4
Answer» Correct Answer - 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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