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1 April, 18:44

Which of the following is cot (theta) sec (theta) in simplified form? csc theta tan theta - 1 1

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  1. 1 April, 19:41
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    csc (theta)

    Step-by-step explanation:

    we have

    cot (theta) * sec (theta)

    we know that

    cot (theta) = cos (theta) / sin (theta)

    sec (theta) = 1/cos (theta)

    csc (theta) = 1/sin (theta)

    so

    substitute in the given expression

    cot (theta) * sec (theta) = (cos (theta) / sin (theta)) * (1/cos (theta))

    Simplify

    (cos (theta) / sin (theta)) * (1/cos (theta)) = 1/sin (theta)

    and

    1/sin (theta) = csc (theta)

    therefore

    cot (theta) * sec (theta) = csc (theta)
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