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    Question

    If cos4B = sin(B - 10°), then find the measure of 'B'.

    A 14° Correct Answer Incorrect Answer
    B 20° Correct Answer Incorrect Answer
    C 36° Correct Answer Incorrect Answer
    D 26° Correct Answer Incorrect Answer

    Solution

    We know that, cosA = sin(90° - A) cos4B = sin(B - 10°) Or, sin(90° - 4B) = sin(B - 10°) Or, 90° - 4B = B - 10° Or, 4B + B = 90° + 10° So, B = (100° / 5) = 20°

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