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  4. The value of cos tan -1 (3/4)+ cos tan -1 x is equal to

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Q. The value of $\cos \tan ^{-1} \frac{3}{4}+\cos \tan ^{-1} x$ is equal to

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$\cos \tan ^{-1} \frac{3}{4}+\cos \tan ^{-1} x$
$=\cos \cos ^{-1} \frac{4}{5}+\cos \cos ^{-1} \frac{1}{\sqrt{1+x^{2}}}$
$=\frac{4}{5}+\frac{1}{\sqrt{1+x^{2}}}$