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  4. The value of cot ( tan -1 a+ cot -1 a) is

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Q. The value of $\cot \left(\tan ^{-1} a+\cot ^{-1} a\right)$ is

Inverse Trigonometric Functions

Solution:

We have,
$\cot \left(\tan ^{-1} a+\cot ^{-1} a\right)=\cot \frac{\pi}{2}=0\left[\because \tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2}\right]$