Determine the exact value of sin 150 degrees

Question

asked Feb 17, 2020 185k views

1 Answer

Steven Williams · Answer 1 · 2020-02-23T00:02:41+0000

Answer:

(1)/(2)

Explanation:

Use the identity:

$\sin(180-\theta)=\sin \theta$

We were given:
$\sin 150\degree$

We can rewrite this as:

$\sin(180-30)\degree=\sin 30\degree$

On the unit circle,
$\sin 30\degree=(1)/(2)$

This implies that:

$\sin(180-30)\degree=\sin 150\degree=\sin 30\degree=(1)/(2)$

Therefore the exact value of
$\sin 150\degree$ is
(1)/(2)