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March 25, 2017

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Prove
1+cos X/1-cos X = (csc X + cot X)squared

  • trig - ,

    sort of like rationalizing radical expressions, multiply top and bottom by (1+cosX), giving

    (1+cosX)^2
    -------------
    (1-cos^2X

    = (1+cosX)^2/sin^2X
    = [(1+cosX)/sinX]^2
    = (cscX + cotX)^2

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