The trigonometric function for the given graph is given as follows:
f(t) = 3sin(4t).
The sine function is defined by the rule presented as follows:
g(x) = asin(bx+c)+d.
The coefficients of the sine function have the roles listed as follows:
From the graph shown by the image at the end of the answer, the function oscillates between -3 and 3, hence the amplitude is of:
a = 3.
The period is of π/2, hence the parameter B is obtained as follows:
2π/B = π/2
B = 4 (applying cross multiplication).
Hence the definition of the function is:
f(t) = 3sin(4t).
The graph is given by the image shown at the end of the answer.
More can be learned about sine functions at brainly.com/question/28574324
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