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Question
Find θ if 0° < θ ≤ 90°.
tan θ = sin 30° cos 60° + cos 30° sin 60°
Sum
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Solution
Given:
0° < θ ≤ 90°
tan θ = sin 30° cos 60° + cos 30° sin 60°
= sin (30° + 60°)
= sin 90°
= 1
θ = 1 ... [In 0° < θ ≤ 90°, which gives]
θ = 45°
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