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

Question

asked Jun 26, 2020 160k views

1 Answer

Suresh Peddisetti · Answer 1 · 2020-07-01T04:29:43+0000

Answer:

$\theta=60\degree$

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
$\sin(\theta)=(√(3) )/(2)$

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

$\Rightarrow \theta=60\degree$

Or

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