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      Question

      If cos1.5B = sin(B + 5°), then find the measure of 'B'.

      A 34° 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) cos1.5B = sin(B + 5°) Or, sin(90° - 1.5B) = sin(B + 5°) Or, 90° - 1.5B = B + 5° Or, 1.5B + B = 90° - 5° So, B = (85° / 2.5) = 34°

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