# Math Help - Simple trig question

1. ## Simple trig question

Hi there,

Why does $\sqrt{3}\ sin\ x=cos\ x$ imply that $\sqrt{3}\ tan\ x=1$ ?

Thanks for your help!

2. Originally Posted by Stroodle
Hi there,

Why does $\sqrt{3}\ sin\ x=cos\ x$ imply that $\sqrt{3}\ tan\ x=1$ ?

Thanks for your help!
because $\sqrt{3}\frac{\sin{x}}{\cos{x}}=1$ (dividing both sides boy $\cos{x}$)....... and you know that $\frac{\sin{x}}{\cos{x}}=\tan{x}$

3. Haha. Awesome. Thanks VonNemo19. I feel pretty stupid now

4. Originally Posted by Stroodle
Haha. Awesome. Thanks VonNemo19
You're very welcome, stroodle.