college algebra

Question

Question 10
What is the period of y = 3cos ( 4x + π/2) + 5?

Answer 1

Hello, thank you for taking the time to post your question!

The general form of the equation that you have here is

y = A cos(Bx + C) + D

In that formulation the Period = 2pi / | B |

For the given expression you have B = 4, meaning that the period is

2pi / 4 = pi/2

So the period of the function you’re analyzing here is pi/2

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

y = A cos (Bx + C) + D

 

period = 2π/B