Default
Question
sin(60 + θ) - sin(60 - θ) is equal to
Solution
The correct answer is sin θ
Explanation
We know that
sin(A ± B) = sin A cos B ± cos A sin B
∴ sin(60 + θ) - sin(60 - θ)
= sin 60 cos θ + cos 60 sin θ - sin 60 cos θ + cos 60 sin θ
= 2 × cos 60 sin θ
= 2 × $\frac{√1}{2}$ sin θ
= sin θ
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