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

    Nov 19, 2008, 05:57 AM
    trigonometric functions
    how can I prove cot^2X-1/1+cot^2X=2cos^2X-1
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Nov 19, 2008, 11:10 AM

    I assume what you mean is:

    [cot^2(x) -1]/[1+cot^2(x)] = 2 cos^2(x) -1

    Right?

    First step is convert the cotangent function into cosine over sine. Then multiply through by sin^2(x). Then all you need do is apply the fact that sin^2(x) = 1- cos^2(x)
    rebel-2's Avatar
    rebel-2 Posts: 107, Reputation: 8
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    #3

    Nov 20, 2008, 03:41 PM

    yeah have reference to equations like this.
    Trigonometry Equations - EquationSheet

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