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Mathematics 14 Online
OpenStudy (anonymous):

sin2x+cosx=0

OpenStudy (anonymous):

start with the fact that \(\sin^2(x)=1-\cos^2(x)\) to rewrite this as \[1-\cos^2(x)+\cos(x)=0\] or \[\cos^2(x)-\cos(x)+1=0\] then solve the quadratic equation in cosine

OpenStudy (anonymous):

ok that was wrong, the equation should be \[\cos^2(x)-\cos(x)-1=0\]

OpenStudy (anonymous):

help solve please

OpenStudy (anonymous):

probably need the quadratic formula if you put \(u=\cos(x)\) then this is \[u^2-u-1=0\]

OpenStudy (anonymous):

do you know how to solve that one?

OpenStudy (anonymous):

I don't understand any of it

OpenStudy (anonymous):

ok lets go slow and forget trig for a moment have you ever solved a quadratic equation?

OpenStudy (anonymous):

oh actually, before we begin, is it \[\sin^2(x)+\cos(x)=0\] or is it \[\sin(2x)+\cos(x)=0\]?

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