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Math Help - rewrite trigonometric expression

  1. #1
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    rewrite trigonometric expression

    1/csc+1

    turn this problem into non fraction form.

    thx!
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  2. #2
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    ..

    almost positive that would turn into sin+1

    because csc(x)=\frac{1}{sin(x)}
    and the inverse of that would be \frac{1}{csc(x)}=sin(x)
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  3. #3
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    ok thank u!
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  4. #4
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    Hello, Jasleen2008!

    Write in non-fraction form: . \frac{1}{\csc x + 1}
    Multiply top and bottom by (\csc x - 1):

    . . {\color{blue}\frac{\csc x - 1}{\csc x -1}}\cdot\frac{1}{\csc x + 1} \;\;=\;\;\frac{\csc x - 1}{\csc^2\!x-1} \;\;=\;\;\frac{\csc x - 1}{\cot^2\!x} \;\;=\;\;\tan^2\!x(\csc x - 1)

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