A value of 1 1 2 tan sin cos 3 – – æ ö æ ö æ ö ç ÷ ç ÷ ç ÷ ç ÷ è ø è ø è ø is

Question:

A value of $\tan ^{-1}\left(\sin \left(\cos ^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right.$ is

  1. $\frac{\pi}{4}$

  2. $\frac{\pi}{2}$

  3. $\frac{\pi}{3}$

  4. $\frac{\pi}{6}$


Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Online May 19, 2012

Solution:

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