Question

determine the period of the given function. $y = \cos(\pi x)$
the period is $\square$.
(simplify your answer. type an exact answer, using $\pi$ as needed. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall cosine period formula

For $y=\cos(Bx)$, period is $\frac{2\pi}{|B|}$.

Step2: Identify $B$ from given function

Here, $B=\pi$.

Step3: Calculate the period

$\text{Period} = \frac{2\pi}{|\pi|} = 2$

Answer:

2