Considering the principal values of... | Inverse Trigonometry | JEE Main 2026

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JEE MAIN 2026

28-01-2026 S2

Question

Considering the principal values of inverse trigonometric functions, the value of the expression $\tan \left(2 \sin ^{-1}\left(\frac{2}{\sqrt{13}}\right)-2 \cos ^{-1}\left(\frac{3}{\sqrt{10}}\right)\right)$ is equal to:

Select the correct option:

A

$\frac{33}{56}$

B

$\frac{16}{63}$

C

$-\frac{16}{63}$

D

$-\frac{33}{56}$

✓ Correct! Well done.

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