trig factoring

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May 3rd 2009, 06:16 PM
smyleeface17

trig factoring

factor 2sinxcosx+sinx-6cosx-3=0

where do i start?
May 3rd 2009, 07:26 PM
Soroban

Hello, smyleeface17!

Quote:

Factor: . $2\sin x\cos x + \sin x-6\cos x-3 \:=\:0$

Where do i start?

Factor "by grouping":

. . $\sin x\underbrace{(2\cos x + 1)} - 3\underbrace{(2\cos x + 1)} \:=\:0$
. . . . . . . . . $^{\nwarrow\text{ common factor }\nearrow}$

. . $(2\cos x + 1)(\sin x - 3) \:=\:0$

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