Find value of x, if :

sin x = sin 60° cos 30° + cos 60° sin 30°

Solving,

$\Rightarrow \text{sin x} = \dfrac{\sqrt{3}}{2} \times \dfrac{\sqrt{3}}{2} + \dfrac{1}{2} \times \dfrac{1}{2} \\[1em] \Rightarrow \text{sin x} = \dfrac{3}{4} + \dfrac{1}{4} \\[1em] \Rightarrow \text{sin x} = \dfrac{4}{4} \\[1em] \Rightarrow \text{sin x} = 1 \\[1em] \Rightarrow \text{sin x} = \text{sin 90°} \\[1em] \Rightarrow x = 90°.$

Hence, x = 90°.