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Math Help - trig reduction, where did the negative sign come from?

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    trig reduction, where did the negative sign come from?

    trig reduction, where did the negative sign come from?-screen-shot-2012-10-23-11.59.40-pm.png


    we cancel (cos x - sin x) in the numerator and denominator to get 1/(cos x)

    Why is it -1?
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    Re: trig reduction, where did the negative sign come from?

    \cos(x)-\sin(x)=-(\sin(x)-\cos(x))

    Then after dividing out this factor, the -1 is left in the numerator.
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    Re: trig reduction, where did the negative sign come from?

    Quote Originally Posted by kingsolomonsgrave View Post
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    we cancel (cos x - sin x) in the numerator and denominator to get 1/(cos x)

    Why is it -1?
    Algebra Just factor a -1 out of the numerator

    \frac{a-b}{b-a}=\frac{-1(b-a)}{(b-a)}=-1
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