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    Alec121290's Avatar
    Alec121290 Posts: 1, Reputation: 1
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    #1

    Feb 23, 2009, 03:11 PM
    How You Verify this trigonometric identity
    Trigonometric Identities

    1-cosx/sinx - sinx/1-cosx = 2cscx
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Feb 23, 2009, 03:31 PM

    First, recognize that
    csc(x) = 1/sin(x)

    Also, note that sin^2(x) + cos^2(x) = 1

    The usual approach to solving this type of problem is to expand everything on the left in terms of sines and cosines. You then manipulate the result algebraically until you get 2/sin(x) which is equal to 2csc(x). You will, if you don't make any mistakes.
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