TyeM200519
Answered

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PLEASE HELP (100 POINTS)

PLEASE HELP 100 POINTS class=

Sagot :

[tex]\\ \rm\Rrightarrow f(x)=-5cos\dfrac{x}{2}+5[/tex]

Compare to standard equation of SHM

[tex]\\ \rm\Rrightarrow y=Acos(\omega x+\phi)[/tex]

Here

  • Amplitude=A=-5

[tex]\\ \rm\Rrightarrow \omega x=\dfrac{x}{2}[/tex]

[tex]\\ \rm\Rrightarrow \omega=1/2[/tex]

Well the above one are for extra knowledge .

Solution:-

[tex]\\ \rm\Rrightarrow 10=-5cos\dfrac{x}{2}+5[/tex]

[tex]\\ \rm\Rrightarrow 10-5=-5cos\dfrac{x}{2}[/tex]

[tex]\\ \rm\Rrightarrow 5=-5cos\dfrac{x}{2}[/tex]

[tex]\\ \rm\Rrightarrow cos\dfrac{x}{2}=-1[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=cos^{-1}(-1)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=\pi[/tex]

[tex]\\ \rm\Rrightarrow x=2\pi[/tex]

So.

[tex]\\ \rm\Rrightarrow x=2\pi+2\pi n[/tex]

577899

Answer:

I think the third answer.

Hope it can help you.

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