Question 89

Find the value of $$\sin 60^\circ \cos 30^\circ + \cos 60^\circ \sin 30^\circ$$.

Solution

$$\sin 60^\circ \cos 30^\circ + \cos 60^\circ \sin 30^\circ$$

$$\sin 60^\circ $$ =$$\frac{\sqrt{3}}{2}$$

$$\cos 30^\circ$$ = $$\frac{\sqrt{3}}{2}$$

$$ \cos 60^\circ$$ = $$\frac{1}{2}$$

$$\sin 30^\circ$$ = $$\frac{1}{2}$$

$$\sin 60^\circ \cos 30^\circ + \cos 60^\circ \sin 30^\circ$$

$$\frac{\sqrt{3}}{2}\times \frac{\sqrt{3}}{2}$$ + $$\frac{1}{2}\times \frac{1}{2}$$ = 1

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