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Question

Mathematics Question on Inverse Trigonometric Functions

tan⁡(2sin⁡−1(513))=\tan ( 2 \sin^{-1} ( \frac{5}{13} )) =

A

5178\frac{51}{78}

B

6039\frac{60}{39}

C

160119\frac{160}{119}

D

120119\frac{120}{119}

Answer

120119\frac{120}{119}

Explanation

Solution

2sin⁡−1513=sin⁡−1120169=tan⁡−11201192 \sin^{-1} \frac{5}{13} = \sin^{-1} \frac{120}{169} =\tan^{-1} \frac{120}{119}