### Instruction: Compute $\sin 300^\circ$.### Response: So to find $\sin 300^\circ$, we should first find the reference angle of $300^\circ$.
So the reference angle of $300^\circ$ would be $360^\circ - 300^\circ = 60^\circ$.
Right. Now since $300^\circ$ is in the third quadrant, and sine is negative in the third quadrant, we know that $\sin 300^\circ = -\sin 60^\circ$.