ind the value of cot(tan^1a+cot^1a). - Vidyadip

MCQ

ind the value of $\text{cot}\text{(tan}^1\text{a}+\text{cot}^1\text{a}).$

✓
$0$
B
$−1$
C
$2$
D
$1$

✓

Answer

Correct option: A.

$0$

We know,
$\tan^1\text{a}+\cot^{-1}\text{a}=\frac{\pi}{2}$
Therefore,
$\cot(\tan^{−1}\text{a}+\cot^{−1}a)=\cot\frac{\pi}{2}=0$

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