Let `a = cos^(-1) cos 20, b = cos^(-1) cos 30 and c = sin^(-1) sin (a + b)` then If `5 sec^(-1) x + 10 sin^(-1) y = 10 (a + b + c)` then the value of `tan^(-1) x + cos^(-1) (y -1)` isA. `(pi)/(2)`B. `(pi)/(4)`C. `pi`D. 0

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 If `5 sec^(-1) x + 10 sin^(-1) y = 10 (a + b + c)` then the value of `tan^(-1) x + cos^(-1) (y -1)` isA. `(pi)/(2)`B. `(pi)/(4)`C. `pi`D. 0
Answer» Correct Answer - B `5 sec^(-1) x + 10 sin^(-1) y = 10 pi` `rArr sec^(-1) x = pi and sin^(-1) y = (pi)/(2)` `rArr x = - 1, y = 1` So, `tan^(-1) (-1) + cos^(-1)(0) = -(pi)/(4) + (pi)/(2) = (pi)/(4)`

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