1 Answer

Nathan Wall · Answer 1 · 2023-03-18T08:12:04+0000

Given the following function:

$\text{ y = 2cos(}(\pi)/(2)x)\text{ + 3}$

We will be using the standard formula aCos (bx - c) + d to find the variables used to find the period.

We get,

aCos (bx - c) + d = 2 cos (π/2x) + 3

a = 2

b = π/2

c = 0

d = 3

Finding the period, we will be using the following formula:

$\text{ Period = }(2\pi)/(b)$

We get,

$\text{ Period = }(2\pi)/(b)$
$\text{ = }(2\pi)/((\pi)/(2))$
$\text{ = 2(}\pi)\text{ x }(2)/((\pi))$
$\text{ = 2 x 2}$
$\text{ Period = 4}$

Therefore, the period of y = 2 cos (π/2x) + 3 is 4. The answer is letter D.

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