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Thread: Simplifying trig expressions (help please)

  1. #1
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    Simplifying trig expressions (help please)

    i need help with these problems
    i really dont understand how to do them
    1.
    [2sin (x)]/[1-cos^2(x)]


    i really appreciate your help
    Last edited by dannyp32; Aug 6th 2009 at 06:39 PM.
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  2. #2
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    Quote Originally Posted by dannyp32 View Post
    i need help with these problems
    i really dont understand how to do them
    1.
    [2sin (x)]/[1-cos^2(x)]


    i really appreciate your help
    $\displaystyle sin^2(x)+cos^2(x)=1$ is a well known identity (one that must be memorized)

    So subtract $\displaystyle cos^2(x)$ from both sides to get $\displaystyle sin^2(x)=1-cos^2(x)$ so....

    $\displaystyle \frac{2sin(x)}{1-cos^2(x)}=\frac{2sin(x)}{sin^2(x)}=\frac{2}{sin(x) }=2\csc(x)$
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