If θ is acute angle and sin(θ + 18°) = $$\frac{1}{2}$$, then the value of θ in circular measure is:

Solution (By Examveda Team)

$$\eqalign{ & \sin \left( {\theta + 18} \right) = \frac{1}{2} \cr & \sin \left( {\theta + 18} \right) = \sin 30 \cr & \theta + 18 = 30 \cr & \therefore \theta = 12 \cr & {\text{We know that}} \cr & {180^ \circ } = \pi \cr & {12^ \circ } = \frac{\pi }{{180}} \times 12 = \frac{\pi }{{15}} \cr} $$