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      Question

      If cos3B = sin(0.5B + 6°), then find the measure of

      'B'.
      A 24° Correct Answer Incorrect Answer
      B 30° Correct Answer Incorrect Answer
      C 36° Correct Answer Incorrect Answer
      D 26° Correct Answer Incorrect Answer

      Solution

      We know that, cosA = sin(90° - A) cos3B = sin(0.5B + 6°) Or, sin(90° - 3B) = sin(0.5B + 6°) Or, 90° - 3B = 0.5B + 6° Or, 3B + 0.5B = 90° - 6° So, B = (84° / 3.5) = 24°

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