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    Question

    If sin(3θ) = cos(2θ), find

    θ.
    A 18° Correct Answer Incorrect Answer
    B 30° Correct Answer Incorrect Answer
    C 45° Correct Answer Incorrect Answer
    D 60° Correct Answer Incorrect Answer

    Solution

    We know sin(3θ) = cos(2θ). Using the identity cos(2θ) = sin(90° - 2θ) 3θ = 90° - 2θ  Solving 3θ = 90° - 2θ gives 5θ = 90°, so θ = 18°. Answer: a

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