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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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