Question

cot ​-1(tan ​π/7) find the value

Answer 1

Cot-1(tan π/7) is the only answer.

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Hope it help u

Answer 2

Answer:

value of $\cot^{-1}(\tan\frac{\pi}{7})$ is $\frac{5\pi}{14}$

Step-by-step explanation:

Let $x = \cot^{-1}(\tan\frac{\pi}{7})$

then;

$\cot x = \tan\frac{\pi}{7}$

We know that:

$\tan(90-x)=\cot x$

then;

$\cot x= \cot (\frac{\pi}{2}-\frac{\pi}{7})$

On comparison we get;

$x = \frac{\pi}{2}-\frac{\pi}{7} =\frac{5\pi}{14}$

Therefore, the value of $\cot^{-1}(\tan\frac{\pi}{7})$ is $\frac{5\pi}{14}$