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Question
cos 2θ = sin θ, ∴ θ = ______.
Options
0°
90°
60°
30°
MCQ
Fill in the Blanks
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Solution
cos 2θ = sin θ, ∴ θ = 30°.
Explanation:
cos 2θ = sin θ, using identity cos 2θ = 1 − 2 sin2θ
we get 2 sin2 θ + sin θ − 1 = 0.
θ = `1/2`
θ = 30°
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