Inverse Trigonometric FunctionHard

Question

tan-1 2 + tan-13 = cosec-1x, then x is equal to -

Options

A.4
B.√2
C.- √2
D.none of these

Solution

tan-1 2 + tan-1 3 = cosec-1 x
⇒ π + tan-1 (-1) = cosec-1 x
⇒ π - = cosec-1 x = cosec-1 x
⇒  no solution.

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