Mathematics · 2022
JEE Main · 26 June 2022, Shift 2 · Q19
If the inverse trignometric functions take principal values, then cos^-1(3/10 cos ( tan^-1(4/3))+2/5 sin ( tan^-1(4/3))) is equal to:
If the inverse trignometric functions take principal values, then $\displaystyle \cos ^{-1}\left(\frac{3}{10} \cos \left(\tan ^{-1}\left(\frac{4}{3}\right)\right)+\frac{2}{5} \sin \left(\tan ^{-1}\left(\frac{4}{3}\right)\right)\right)$ is equal to :
Official answer
(3)
$\displaystyle \frac{\pi}{3}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.