# Q1 Find the principal and general solutions of the following equations:$\tan x= \sqrt{3}$

It is given that given
$\tan x= \sqrt{3}$
Now, we know  that $\tan\frac{\pi}{3}= \sqrt3$ and $\tan\frac{4\pi}{3}= \tan \left ( \pi+\frac{\pi}{3} \right )=\sqrt3$

Therefore,
the principal solutions of the equation are $x = \frac{\pi}{3},\frac{4\pi}{3}$
Now,
The general solution is $\tan x =\tan \frac{\pi}{3}$

$x =n{\pi} + \frac{\pi}{3}$  where $n \ \epsilon \ Z$ and Z denotes sets of integer

Therefore,  the general solution of the equation is $x =n{\pi} + \frac{\pi}{3}$  where $n \ \epsilon \ Z$ and Z denotes sets of integer

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