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Thread: Simplifying trig expressions (help please)

  1. August 6th 2009, 06:25 PM #1
    dannyp32
    dannyp32 is offline
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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; August 6th 2009 at 06:39 PM.
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  2. August 6th 2009, 07:06 PM #2
    artvandalay11
    artvandalay11 is offline
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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
    sin^2(x)+cos^2(x)=1 is a well known identity (one that must be memorized)

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

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