Attachment 25378

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

Why is it -1?

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- Oct 23rd 2012, 08:01 PMkingsolomonsgravetrig reduction, where did the negative sign come from?
Attachment 25378

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

Why is it -1? - Oct 23rd 2012, 08:03 PMMarkFLRe: trig reduction, where did the negative sign come from?
$\displaystyle \cos(x)-\sin(x)=-(\sin(x)-\cos(x))$

Then after dividing out this factor, the -1 is left in the numerator. - Oct 23rd 2012, 08:05 PMTheEmptySetRe: trig reduction, where did the negative sign come from?