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Question
Find θ if 0° < θ ≤ 90°.
cos θ = cos 60° cos 30° + sin 60° sin 30°
Sum
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Solution
Given:
0° < θ ≤ 90°
cos θ = cos 60° cos 30° + sin 60° sin 30°
Step 1:
cos θ = `1/2 ⋅ sqrt3/2 + sqrt3/2 ⋅ 1/2`
= `sqrt3/4 + sqrt3/4`
= `sqrt3/2 → θ = 30°`
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