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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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