First slide

Trigonometric equations

Question

General solution of the equation $\tan x = - \sqrt{3}$

Easy

A

$x = n π - \frac{π}{3}, n \in z$
B

$x = n π + \frac{π}{3}, n \in z$
C

$x = n π + \frac{2 π}{3}, n \in z$
D

$x = n π - \frac{2 π}{3}, n \in z$

Solution

$\tan x = - \sqrt{3} \Rightarrow \tan x = \tan (\frac{- π}{3})$
$\Rightarrow x = n π - \frac{π}{3}, n \in z$

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