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      Question

      If cos2B = sin(1.5B - 36 o ) , then find the

      measure of 'B'.
      A 14° Correct Answer Incorrect Answer
      B 36° Correct Answer Incorrect Answer
      C 30° Correct Answer Incorrect Answer
      D 26° Correct Answer Incorrect Answer

      Solution

      We know that, cosA = sin(90 o  - A)

      cos2B = sin(1.5B - 36 o )

      Or, sin(90 o  - 2B) = sin(1.5B - 36 o )

      Or, 90 o  - 2B = 1.5B - 36 o

      Or, 2B + 1.5B = 90 o  + 36 o

      So, B = (126 o /3.5) = 36 o

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