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Mathematics 15 Online
OpenStudy (anonymous):

2cos(4x)−1=0

OpenStudy (anonymous):

please help

OpenStudy (anonymous):

OpenStudy (kirbykirby):

\[2\cos(4x)-1=0\\ 2\cos(4x)=1\\ \cos(4x)=\frac{1}{2}\\ 4x=\arccos\left(\frac{1}{2}\right)+2\pi n, n\in \mathbb{z} \text{ since cosine is periodic over periods of } 2\pi \\ 4x=\frac{\pi}{3}+2\pi n\\ x=\frac{\pi}{12}+\frac{\pi n}{2}=\frac{\pi+6\pi n}{12}, n\in\mathbb{Z}\]

OpenStudy (kirbykirby):

you need help with all of those questions?

OpenStudy (anonymous):

yess pleae

OpenStudy (anonymous):

:'(

OpenStudy (kirbykirby):

Atually I forgot one answer too

OpenStudy (kirbykirby):

\(\arccos(1/2)=\frac{5\pi}{3}\) so add that answer (with multiples of 2pi\) aswell.. And as or the rest that is WAY too many questions

OpenStudy (midhun.madhu1987):

|dw:1410665121352:dw| just for your information...

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