Question

What is the period of the function

Y= 3 cos Pi x

A. Pi

B. 2Pi

C. 2

D. 1

Answer 1

The general form of the cosine function is:
y = a cos(b(x-c)) + d
The period of such function can be calculated using the following rule:
period = 2п / b

Comparing the general form with the given equation, we will find that:
b = п
Substituting with the given b in the above equation, we can evaluate the period as follows:
period = 2п / b = 2п / п = 2

Therefore, the period of the given equation is 2