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    reichenbach's Avatar
    reichenbach Posts: 2, Reputation: 1
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    #1

    Jun 24, 2012, 08:06 PM
    verify that...
    (1+cos(x))/(1-cos(x))-(1-cos(x))/(1+cos(x))=4cot(x)csc(x)
    bbs86phy's Avatar
    bbs86phy Posts: 3, Reputation: 2
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    #2

    Jun 25, 2012, 05:33 AM
    = (1-cos(x)) / (1+cos(x))- (1+cos(x)) / (1-cos(x))
    = (1-cos(x))^2- (1+cos(x))^2 / (1-cos^2(x))
    = (1+cos^2(x)+2cos(x)-1-cos^2(x)+2cos(x))/(sin^2(x))
    = 4cos(x)/sin^2(x)
    =4 cos(x)/sin(x)*sin(x)
    Because cos(x)/sin(x)=cot(x) and 1/sin(x)=csc(x)
    = 4cot(x) csc(x)
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