Plotting the functions, it is found that there are values for which they are equal, thus, for select values of t, it could be an identity.
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- An equality represents an identity if the two sides are equal.
- In this problem, the sides are the functions [tex]\sin{(t + \frac{3\pi}{2})}[/tex] and [tex]\cos{t}[/tex].
- Appended in this answer, is the plot of the functions in the same graph, with the cosine in red and the sine in blue. From there, it can be seen that they intersect, thus for select values of t, this could be an identity.
A similar problem is given at https://brainly.com/question/13754923
