Answered

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The function y = sin 2 (x – π∕2) has a period of Question 2 options: A) 4π. B) π. C) 2π. D) π∕2.

Sagot :

ferrybukantoro

Answer:

B) π

Step-by-step explanation:

y = sin 2 (x – π∕2)

y = sin (2x -π)

=> 2x = 2π

x = π

The period of function sin(2x−π) is π, which is correct option(B).

What is the period of the function?

The period of the function is defined as the interval between repetitions of any function. A trigonometric function's period is the length of one one completed cycle.

What is the Trigonometric functions?

The trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given the function as :

y = sin 2 (x – π/2)

y = sin (2x − π)

Use the form asin(bx−c) + d to determine the variables used to find the amplitude, period, phase shift, and vertical shift.

a = 1

b = 2

c = π

d = 0

Determine the period of sin(2x−π).

y = sin (2x -π)

So, the period = c = π

Hence, the period of function sin(2x−π) is π.

Learn more about  period of the function here:

https://brainly.com/question/26369761

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