Question

How do you find the amplitude and period of `y = 2 cos (pi x + 4pi)`?

Answer 1

Amplitude: `<-2;2>`

Period: `2`

Explanation:

If you have a trigonometric function like: `f(x)=acos(bx+c)`, then to calculate amplitude (`A`) and period (`P`) you can use:

`A=<-a;a>`

`P=(2pi)/b`

If the function was `tan` or `ctg` then in period you would have to use

`P=pi/a` instead of `P=(2pi)/a`