anonymous
  • anonymous
write an equation of a cosine function with a > 0, amplitude 3, and period pi.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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misty1212
  • misty1212
HI!!
anonymous
  • anonymous
hello
misty1212
  • misty1212
amplitude of 3 means put a 3 out front like this \[f(x)=3\cos(bx)\] now we only need \(b\)

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misty1212
  • misty1212
you want the period to be \(\pi\) right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
I appreciate your help. I've been stairing at this for about 40 minutes
misty1212
  • misty1212
to find \(b\) set \[\frac{2\pi}{b}=\pi\]and solve for \(b\)
misty1212
  • misty1212
you get \(b=2\) pretty much in your head
anonymous
  • anonymous
yep
misty1212
  • misty1212
final answer \[f(x)=3\cos(2x)\] that is all
anonymous
  • anonymous
ok I was making this way harder in my head. Appreciate the help.
misty1212
  • misty1212
\[\color\magenta\heartsuit\]

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