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

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

Step-by-step 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 =}(2\pi)/(B) \\ \text{ from the equation B = 2;} \\ \text{ Period = }(2\pi)/(2)=\pi \end{gathered}`

Therefore;

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