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