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Question
Find the angle θ when 0° < θ < 90°.
sin 8 = 2 sin 30° cos 30°
Sum
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Solution
Given:
sin 8 = 2 sin 30° cos 30°
Step 1:
sin 2A = 2sin A cos A
2sin 30° cos 30°
sin 2A with A = 30°
2 sin 30° cos 30° = sin(2 × 30°)
Step 2:
sin (60°) = `sqrt3/2`
sin θ = sin 60° ...[0° < θ < 90°]
θ = 60°
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