$$\sin 150$$
$\frac{1}{2}=0.5$
$$\sin(90+60)=\sin(90)\cos(60)+\sin(60)\cos(90)$$
$$1\cos(60)+\sin(60)\cos(90)$$
$$1\times \frac{1}{2}+\sin(60)\cos(90)$$
$$1\times \frac{1}{2}+\frac{\sqrt{3}}{2}\cos(90)$$
$$1\times \frac{1}{2}+\frac{\sqrt{3}}{2}\times 0$$
$$\frac{1}{2}$$
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