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    Find the value of sec (2100)° .
    Question

    Find the value of sec (2100)° .

    A.

    1

    B.

    4

    C.

    2

    D.

    3

    Correct option is C

    Solution:
    First, divide 2100° by 360° to find how many complete revolutions are made:
    2100° ÷ 360° = 5 complete revolutions with a remainder of 300°.
    So, sec(2100°) = sec(300°).
    sec(300°) = 1 / cos(300°).
    The cosine of 300° is the same as the cosine of 60°, but in the fourth quadrant, cosine is positive:
    cos(300°) = cos(60°) = 1/2.
    Therefore, sec(300°) = 1 / (1/2) = 2.
    Hence, the value of sec(2100°) is 2.

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