# The value of 1 1 12 3 sin sin 13 5 – – æ ö æö ç ÷ ç÷ – è ø èø is equal to :

Question:

The value of $\sin ^{-1}\left(\frac{12}{13}\right)-\sin ^{-1}\left(\frac{3}{5}\right)$ is equal to :

1. $\pi-\sin ^{-1}\left(\frac{63}{65}\right)$

2. $\frac{\pi}{2}-\sin ^{-1}\left(\frac{56}{65}\right)$

3. $\frac{\pi}{2}-\cos ^{-1}\left(\frac{9}{65}\right)$

4. $\pi-\cos ^{-1}\left(\frac{33}{65}\right)$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year April 12, 2019 (I)

Solution:

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