AkaiyaC30422 AkaiyaC30422
  • 25-10-2022
  • Mathematics
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I need help with this practice problem solving This is trigonometry from my ACT prep guide

I need help with this practice problem solving This is trigonometry from my ACT prep guide class=

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ArrieA85280 ArrieA85280
  • 25-10-2022

Take into account, that in general, a cosine function of amplitude A, period T and vertical translation b, can be written as follow:

[tex]f(x)=A\cos (\frac{2\pi}{T}x)+b[/tex]

In the given case, you have:

A = 4

T = 3π/4

b = -3

By replacing you obtain:

[tex]\begin{gathered} f(x)=4\cos (\frac{2\pi}{\frac{3\pi}{4}}x)-3 \\ f(x)=4\cos (\frac{8}{3}x)-3 \end{gathered}[/tex]

Hence, the answer is:

f(x) = 4cos(8/3 x) - 3

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