Question

Determine the exact value of sin 150 degrees

Answer 1

`(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)`