## anonymous 5 years ago Write the equation of the cosine function with amplitude 2 period 4p

1. anonymous

Amplitude* cos(2pi/period)

2. anonymous

period of $cos(bx)$ is $\frac{2\pi}{b}$ here you want period of $4\pi$ so set $\frac{2\pi}{b}=4\pi$ and solve for $b$ to get $b=\frac{1}{2}$

3. anonymous

so your function will be $2cos(\frac{x}{2})$

4. anonymous

much faster this afternoon yes?

5. amistre64

"Write the equation of the cosine function with amplitude 2; period 4p" This depends on what exactly they mean by 4p, maybe (4pi?) but: 2 cos(x/2)

6. amistre64

little but, they must have replaced the Dcells in the ti-83 lol