mmcmahon360 mmcmahon360
  • 24-05-2020
  • Mathematics
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Find the period of the function y=sin(2x + 1.5)

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sqdancefan
sqdancefan sqdancefan
  • 24-05-2020

Answer:

  π

Step-by-step 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.

______

Another way to say the same thing is that the period is 2π divided by the coefficient of x: (2π)/2 = π.

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