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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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