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    Question

    If cos2B = sin(1.5B + 6┬░), then find the measure of

    'B'.
    A 24┬░ Correct Answer Incorrect Answer
    B 18┬░ Correct Answer Incorrect Answer
    C 20┬░ Correct Answer Incorrect Answer
    D 22┬░ Correct Answer Incorrect Answer

    Solution

    We know that, cosA = sin(90┬░ - A) cos2B = sin(1.5B + 6┬░) Or, sin(90┬░ - 2B) = sin(1.5B + 6┬░) Or, 90┬░ - 2B = 1.5B + 6┬░ Or, 2B + 1.5B = 90┬░ - 6┬░ So, 3.5B = 84┬░ So, B = (84┬░/ 3.5) = 24┬░ Hence, option d.┬а

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