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    anderson17's Avatar
    anderson17 Posts: 3, Reputation: 1
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    #1

    May 3, 2010, 03:41 PM
    pre calc identities
    How do prove this to be true?

    (secθ/sinθ) - (sinθ/cosθ) = cotθ
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #2

    May 4, 2010, 04:51 AM
    Let's fiddle with the left-hand side. Re-write the first term as



    Multiply the second term by "1", in the form of and it becomes

    Now both terms of the LHS have the same denominator, and can therefore be combined. Next, apply the Pythagorean Identity to the resulting numerator, and take it from there...

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