Question

Evaluate each of the following

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

Answer 1

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

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

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

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

So,

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