The equation [tex]f(t) = \sin(2t)[/tex] is an illustration of a sine function
The equation of the sine function is given as:
[tex]f(t) = \sin(2t)[/tex]
A sine function is represented as:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where
A represents the amplitude
By comparison;
A = 1
Hence, the amplitude of the function is 1
In (a), we have:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where the period is:
[tex]T = \frac {2\pi}B[/tex]
By comparison;
B = 2
So, we have:
[tex]T = \frac {2\pi}2[/tex]
[tex]T = \pi[/tex]
Hence, the period of the function is [tex]\pi[/tex]
Read more about sine wave functions at:
https://brainly.com/question/23214084
