Question

use the unit circle to find tan 30 degree

Answer 1

Answer:

See below (along with the attached unit circle)

Step-by-step explanation:

$sin(30^\circ)=\frac{1}{2}$

$cos(30^\circ)=\frac{\sqrt{3}}{2}$

$tan(30^\circ)=\frac{sin(30^\circ)}{cos(30^\circ)}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}$

A reminder that a point on the unit circle is $(cos\theta,sin\theta)$, so it makes sense that if $\theta=30^\circ$, the point on the unit circle should be $(cos30^\circ,sin30^\circ)\rightarrow(\frac{\sqrt{3}}{2},\frac{1}{2})$