Question

What is the amplitude and period of F(t) = sin 2t?a. amplitude: 1; period, pib. amplitude: -1; period: pic. amplitude: 1; period: 2pid. amplitude: -1; period: 2piPlease select the best answer from the choices provided

Answer 1

Answer:

$\text{amplitude: 1, period: }\pi$

Explanation:

Given the function in the attached image;

$f(t)=\sin 2t$

Comparing to the general form of periodic equations.

$f(t)=A\sin B(t+C)+D$$\begin{gathered} A=\text{ Amplitude} \\ A=1 \end{gathered}$$\begin{gathered} \text{Period =}\frac{2\pi}{B} \\ \text{ from the equation B = 2;} \\ \text{ Period = }\frac{2\pi}{2}=\pi \end{gathered}$

Therefore;

$\text{amplitude: 1, period: }\pi$