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    Question

    If sin(3θ) = cos(2θ), then find the value of θ

    between 0 and 90 degrees.
    A 18° Correct Answer Incorrect Answer
    B 15° Correct Answer Incorrect Answer
    C 30° Correct Answer Incorrect Answer
    D 36° Correct Answer Incorrect Answer

    Solution

    We know that sin(3θ) = cos(2θ) implies sin(3θ) = sin(90° - 2θ). Thus, 3θ = 90° - 2θ From 3θ = 90° - 2θ, we get 5θ = 90°, hence θ = 18°.

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