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    Question

    If cos2B = sin(1.5B + 27 o), then find the

    measure of 'B'.┬а
    A 12┬░ Correct Answer Incorrect Answer
    B 15┬░ Correct Answer Incorrect Answer
    C 18┬░ Correct Answer Incorrect Answer
    D 21┬░ Correct Answer Incorrect Answer

    Solution

    We know that, cosA = sin(90 o - A) cos2B = sin(1.5B + 27 o) Or, sin(90 o - 2B) = sin(1.5B + 27 o) Or, 90o - 2B = 1.5B + 27 o Or, 2B + 1.5B = 90 o - 27 o So, 3.5B = 63 o So, B = (63 o/ 3.5) = 18 o Hence, option c.

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