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    brilw22's Avatar
    brilw22 Posts: 1, Reputation: 1
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    #1

    Apr 11, 2013, 08:21 PM
    I need help to verify this: sin(2x)/(csc(x)*cos(x)) = 2 - 2cos^2(x)
    Verifying identies
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Apr 12, 2013, 06:53 AM
    As usual - first thing is to convert the csc(x) function to it's sine equivalent. Then apply the identity for sin(2x) - if you don't know it off the top of your head you need to memorize it. Finally look for other identities that can simplify things - one of the most common that shows up in these sorts of problems is sin^2x + cos^2x = 1, and its alternative forms such as sin^2x = 1 - cos^2x.
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