Question

Which angle forms a y-coordinate on a unit circle of /~3/2 (square root of 3 over 2)

Answer 1

`\theta=60\degree`

Or

`\theta=(\pi)/(3)`

Explanation:

We want to find the angle which forms a y-coordinate of
`(√(3) )/(2)`

on the unit circle.

The y-coordinate on the unit circle is given by
`\sin(\theta)`.

This implies that
`\sin(\theta)=(√(3) )/(2)`

`\Rightarrow \theta=\sin^(-1)((√(3) )/(2))`

`\Rightarrow \theta=\sin^(-1)((√(3) )/(2))`

`\Rightarrow \theta=60\degree`

Or

`\theta=(\pi)/(3)`