# Thread: Solving trigonometric equations question

1. ## Solving trigonometric equations question

Solve for x:

sin x - sin x tan x = 0

I've tried using trig identities to make them all in the same term (sin/cos/tan) but was not sucessful.

2. Originally Posted by Hasan1
Solve for x:

sin x - sin x tan x = 0

I've tried using trig identities to make them all in the same term (sin/cos/tan) but was not sucessful.
Factor:
$sin(x) - sin(x)~tan(x) = 0$

$sin(x)(1 - tan(x)) = 0$

Thus either
$sin(x) = 0 \implies x = 0, \pi$
or
$1 - tan(x) = 0 \implies x = \frac{\pi}{4}, \frac{5\pi}{4}$

-Dan

3. oh wow that is much more simple than I was making it out to be , Thanks for your prompt help!