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anonymous
 one year ago
write an equation of a cosine function with a > 0, amplitude 3, and period pi.
anonymous
 one year ago
write an equation of a cosine function with a > 0, amplitude 3, and period pi.

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misty1212
 one year ago
Best ResponseYou've already chosen the best response.1amplitude of 3 means put a 3 out front like this \[f(x)=3\cos(bx)\] now we only need \(b\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you want the period to be \(\pi\) right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I appreciate your help. I've been stairing at this for about 40 minutes

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1to find \(b\) set \[\frac{2\pi}{b}=\pi\]and solve for \(b\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you get \(b=2\) pretty much in your head

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1final answer \[f(x)=3\cos(2x)\] that is all

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok I was making this way harder in my head. Appreciate the help.

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1\[\color\magenta\heartsuit\]
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