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).
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.
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.
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