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anonymous

  • one year ago

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

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  1. misty1212
    • one year ago
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    HI!!

  2. anonymous
    • one year ago
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    hello

  3. misty1212
    • one year ago
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    amplitude of 3 means put a 3 out front like this \[f(x)=3\cos(bx)\] now we only need \(b\)

  4. misty1212
    • one year ago
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    you want the period to be \(\pi\) right?

  5. anonymous
    • one year ago
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    yes

  6. anonymous
    • one year ago
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    I appreciate your help. I've been stairing at this for about 40 minutes

  7. misty1212
    • one year ago
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    to find \(b\) set \[\frac{2\pi}{b}=\pi\]and solve for \(b\)

  8. misty1212
    • one year ago
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    you get \(b=2\) pretty much in your head

  9. anonymous
    • one year ago
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    yep

  10. misty1212
    • one year ago
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    final answer \[f(x)=3\cos(2x)\] that is all

  11. anonymous
    • one year ago
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    ok I was making this way harder in my head. Appreciate the help.

  12. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\]

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spraguer (Moderator)
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