Question

Find tan(30) (its a right triangle)

Answer 1

Use the 30-60-90 triangle.

Tan is opposite over adjacent.

$\frac{1}{ \sqrt{3} }$
Square roots cannot be on the bottom.

$\frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$
The bottom cancel out the square root bar.

Your answer is:

$\frac{ \sqrt{3} }{3}$
(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)

Hope this helps!

:)