Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use the identity:
[tex]\sin(180-\theta)=\sin \theta[/tex]
We were given:[tex]\sin 150\degree[/tex]
We can rewrite this as:
[tex]\sin(180-30)\degree=\sin 30\degree[/tex]
On the unit circle, [tex]\sin 30\degree=\frac{1}{2}[/tex]
This implies that:
[tex]\sin(180-30)\degree=\sin 150\degree=\sin 30\degree=\frac{1}{2}[/tex]
Therefore the exact value of [tex]\sin 150\degree[/tex] is [tex]\frac{1}{2}[/tex]
