Let y = sin - 1 sin 8 - tan - 1 tan 1 0 + cos - 1 cos 1 2 - sec - 1 sec 9 + cot - 1 cot 6 - cosec - 1 cosec 7 . If y simplifies to a π + b then a - b is

Question

Let y = sin - 1 sin 8 - tan - 1 tan 1 0 + cos - 1 cos 1 2 - sec - 1 sec 9 + cot - 1 cot 6 - cosec - 1 cosec 7 . If y simplifies to a π + b then a - b is,

MARKS App · Accepted Answer

y = sin - 1 sin 8 - tan - 1 tan 1 0 + cos - 1 cos 12 - sec - 1 sec 9 + cot - 1 cot 6 - cosec - 1 cosec 7 y = 3 π - 8 - 1 0 - 3 π + 4 π - 12 - 9 - 2 π + 6 - π - 7 - 2 π y = 1 3 π - 4 0 a = 13 and b = - 40 a - b = 53

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