Question

Use the unit circle to find tan 30 degree

Answer 1

See below (along with the attached unit circle)

Explanation:

`sin(30^\circ)=(1)/(2)`

`cos(30^\circ)=(√(3))/(2)`

`tan(30^\circ)=(sin(30^\circ))/(cos(30^\circ))=((1)/(2))/((√(3))/(2))=(1)/(√(3))=(√(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((√(3))/(2),(1)/(2))`