Inverse Trigonometric FunctionHard

Question

The value of cos-1 (-1 / 2) -2 sin-1 (1 / 2) + 3 cos-1 (-1/ √2) - 4 tan-1 (-1) is equal to-   

Options

A.7π/4
B.11π/4
C.43π/12
D.25π/12

Solution

cos-1 - 2. sin-1 + 3 + 4 tan-1 1
= π -

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