Question

Determine the exact value of sin 150 degrees

Answer 1

Answer:

$\frac{1}{2}$

Step-by-step 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, $\sin 30\degree=\frac{1}{2}$

This implies that:

$\sin(180-30)\degree=\sin 150\degree=\sin 30\degree=\frac{1}{2}$

Therefore the exact value of $\sin 150\degree$ is $\frac{1}{2}$