Mark the tick against the correct answer in the following:

Question:

Mark the tick against the correct answer in the following:

$\cot \left(\tan ^{-1} x+\cot ^{-1} x\right)=?$

A. 1

B. $\frac{1}{2}$

C. 0

D. none of these

 

 

Solution:

To Find: The value of $\cot \left(\tan ^{-1} x+\cot ^{-1} x\right)$

Let, $x=\cot \left(\tan ^{-1} x+\cot ^{-1} x\right)$

$\Rightarrow \mathrm{x}=\cot \left(\frac{\pi}{2}\right)\left(\because \tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2}\right)$

$\Rightarrow \mathrm{x}=0$

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now