# When tanx=1, what does x equal?

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#### Explanation:

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15
Jun 5, 2017

$x = n \pi + \frac{\pi}{4}$, where $n$ is an integer.

#### Explanation:

$\tan x = 1$, but as $\tan \left(\frac{\pi}{4}\right) = 1$

However, as period of tan function is $\pi$ and the function repeats after every $\pi$,

the general solution for $\tan x = 1 = \tan \left(\frac{\pi}{4}\right)$ is

$x = n \pi + \frac{\pi}{4}$, where $n$ is an integer.

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