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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

What is the amplitude and period of Ft sin 2ta amplitude 1 period pib amplitude 1 period pic amplitude 1 period 2pid amplitude 1 period 2piPlease select the bes class=

Respuesta :

Answer:

[tex]\text{amplitude: 1, period: }\pi[/tex]

Explanation:

Given the function in the attached image;

[tex]f(t)=\sin 2t[/tex]

Comparing to the general form of periodic equations.

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

Therefore;

[tex]\text{amplitude: 1, period: }\pi[/tex]