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Question: The value of x which satisfies the equation \(\tan ^ { - 1 } x =\) \(\sin ^ { - 1 } \left( \frac { 3...

The value of x which satisfies the equation tan⁡−1x=\tan ^ { - 1 } x = sin⁡−1(310)\sin ^ { - 1 } \left( \frac { 3 } { \sqrt { 10 } } \right) is.

A

3

B

–3

C

13\frac { 1 } { 3 }

D

−13- \frac { 1 } { 3 }

Answer

3

Explanation

Solution

Given, tan⁡−1x=sin⁡−1[310]\tan ^ { - 1 } x = \sin ^ { - 1 } \left[ \frac { 3 } { \sqrt { 10 } } \right]

⇒ ⇒ x = 3.