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Math Help - Precalc question

  1. #1
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    Precalc question

    1+cot^2x-cos^2x-cos^2xcot^2x Can Anyone simplify this problem step by step?
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  2. #2
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    Thanks. My precalc book says the answer is 1, but that didnt make sense to me.
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  3. #3
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    Does this make sense that the answer is 1?
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  4. #4
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    Does anyone know what the right answer is? Is it 1 or above?
    Can you explain

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  5. #5
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    Quote Originally Posted by mat1 View Post
    1+cot^2x-cos^2x-cos^2xcot^2x Can Anyone simplify this problem step by step?
    your book is correct.

    1 + \cot^2{x} - \cos^2{x} - \cos^2{x} \cdot \cot^2{x} =

    1 + \cot^2{x} - \cos^2{x} - \cos^2{x}(\csc^2{x} - 1) =

    1 + \cot^2{x} - \cos^2{x} - \cot^2{x} + \cos^2{x} =

    1
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  6. #6
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    Thank you very much for the help and answers
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