Answer:
π
Explanation:
The period is the amount of change in x required to make the argument of the sine function change by 2π.
If P is the period, then we want ...
(2(x+P) +1.5) -(2x +1.5) = 2π
2P = 2π . . . . . . simplify
P = π . . . . . . . . divide by 2
The period of the function is π.
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Another way to say the same thing is that the period is 2π divided by the coefficient of x: (2π)/2 = π.