## 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

HI!!

2. anonymous

hello

3. misty1212

amplitude of 3 means put a 3 out front like this $f(x)=3\cos(bx)$ now we only need $$b$$

4. misty1212

you want the period to be $$\pi$$ right?

5. anonymous

yes

6. anonymous

I appreciate your help. I've been stairing at this for about 40 minutes

7. misty1212

to find $$b$$ set $\frac{2\pi}{b}=\pi$and solve for $$b$$

8. misty1212

you get $$b=2$$ pretty much in your head

9. anonymous

yep

10. misty1212

final answer $f(x)=3\cos(2x)$ that is all

11. anonymous

ok I was making this way harder in my head. Appreciate the help.

12. misty1212

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