Evaluate the expression: $\sin 60°\cos 30° + \sin 30°\cos 60°$.

Given Expression: sin 60°cos 30° + sin 30°cos 60°

$\mathrm{As}, \mathrm{Sin}{30}^{\mathrm{o}} = \frac{1}{2} , \mathrm{Cos}{30}^{\mathrm{o}} = \frac{\sqrt{3}}{2} , \mathrm{Sin}{60}^{\mathrm{o}} = \frac{\sqrt{3}}{2} , \mathrm{Cos}{60}^{\mathrm{o}} = \frac{1}{2}$

Now, substitute the values of sin 30°, cos 30°, sin 60°, cos 60°:

= sin 60° cos 30° + sin 30° cos 60° 

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

$$\begin{gathered} = \frac{3}{4} + \frac{1}{4} \\ =\frac{3 + 1 }{4} \\ = \frac{4}{4} = 1 \end{gathered}$$

Therefore, sin 60° cos 30° + sin 30° cos 60° = 1.