# SOLVING TRIGONOMETRIC EQUATIONS

displaystylefracpi2,frac3pi2;frac2pi3,quad extandquadfrac4pi3 Explanation:Rewrite the equation:f(x) = (sin 2x - cos 2x) - (sin x - cos x) ...

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How vày you find the general solutions for displaystyle6sinxcosx+3sinx=2cosx+1 ?
https://socratic.org/questions/how-do-you-find-the-general-solutions-for-6sin-x-cos-x-3sin-x-2cos-x-1
Noah G Mar 19, 2018 Put all terms khổng lồ one side of the equation . displaystyle6sinxcosx-2cosx+3sinx-1=0displaystyle2cosxleft(3sinx-1 ight)+left(3sinx-1 ight)=0 ...
We need to lớn solve that cos2x-sin2x=sqrt3(cos2x-sin2x)(cos2x+sin2x), which gives cos2x-sin2x=0, which is x=fracpi8+fracpi2k, kinmathbb Z or cos2x+sin2x=frac1sqrt3, ...

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Suppose asin x+bcos x is a constant c. Plugging in x=0,pi we get respectively acdot 0+bcdot 1=c và acdot 0+bcdot(-1)=c, i.e. B=c=-b. From there it follows that c=0, so 0 is the ...
Those are very general questions: what "can you do" & what "can't you do"...in terms of using trig identities: What you can vày is use an identity to lớn replace one expression with its strict ...

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The main formula (you either know it or you don't - meaning either it has been taught in class or your book, or if not then it's an unfair problem) is this: sin A + sin B = 2 sin frac A+B 2 cos frac A-B 2 ...
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left< eginarray l l 2 và 3 \ 5 & 4 endarray ight> left< eginarray l l l 2 & 0 và 3 \ -1 & 1 & 5 endarray ight>

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