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If θ is acute angle and sin(θ + 18°) = $$\frac{1}{2}$$, then the value of θ in circular measure is:
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \sin \left( {\theta + 18} \right) = \frac{1}{2} \cr
& \sin \left( {\theta + 18} \right) = \sin 30 \cr
& \theta + 18 = 30 \cr
& \therefore \theta = 12 \cr
& {\text{We know that}} \cr
& {180^ \circ } = \pi \cr
& {12^ \circ } = \frac{\pi }{{180}} \times 12 = \frac{\pi }{{15}} \cr} $$
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