Question

What is the amplitude and period of f(t)=-cos t

Answer 1

Answer:

c. amplitude: 1; period: $2\pi$

Step-by-step explanation:

The given function is $f(t)=- \cos t$

This function is of the form;

$y=A \cos Bt$

where $|A|$ is the amplitude.

When we compare $f(t)=- \cos t$ to $y=A \cos Bt$, we have

$A=-1$, therefore the amplitude of the given cosine function is $|-1|=1$

The period is given by;

$T=\frac{2\pi}{|B|}$

Since B=1, the period is $T=\frac{2\pi}{|1|}=2\pi$