Question

tanx × tan4x = 1 find general solution

Answer 1

We have to determine the general solution of the $\tan x \times \tan 4x = 1$

$\tan 4x = \frac{1}{ \tan x}$

$\tan 4x = \cot x$

$\tan 4x = \tan(\frac{\pi}{2}-x)$

So, general solution is:

$4x = n \pi + (\frac{\pi}{2} -x)$

$4x + x= n \pi + \frac{\pi}{2}$

$5x = n \pi + \frac{\pi}{2}$

So,$x = \frac{1}{5}(n \pi + \frac{\pi}{2})$ is the general solution to the given equation.

Answer 2

Step-by-step explanation:

tanxtan4x=1

This is correct solution of this question