Question

Determine the period of the following trigonometric function.
y, equals, 4, sine, left parenthesis, start fraction, 2, pi, x, divided by, 5, end fraction, minus, start fraction, 2, divided by, 5, end fraction, right parenthesis
y=4sin(
5
2πx
​
−
5
2
​
)
Answer

Answer 1

The period is 5.

Reason: For y = 4 sin((2π/5)x - 2/5) the angular frequency is b = 2π/5, so period = 2π/b = 2π / (2π/5) = 5.