1. ## Trigonometric Equation

Solve and find all solutions for 0 < x < 2pi

$
tanx = 2sinx
$

If anyone can show me how to complete this I would be thankful.

2. Originally Posted by Raj
Solve and find all solutions for 0 < x < 2pi

$
tanx = 2sinx
$

If anyone can show me how to complete this I would be thankful.
$\tan x = 2 \sin x \Rightarrow \frac{\sin x}{\cos x} = 2 \sin x \Rightarrow \sin x = 2 \sin x \cos x \Rightarrow \sin x \, (1 - 2 \cos x) = 0$.

3. $\tan x = 2 \sin x
\Rightarrow \frac{\sin x}{\cos x} = 2 \sin x \Rightarrow \sin x = 2 \sin x \cos x \Rightarrow \sin x \, (1 - 2 \cos x) = 0$

thanks