Question

How do you find the period of `y=3+ cos x`?

Answer 1

`2pi`

Explanation:

The period of f(x) = a + b cos (cx + d) is `(2pi)/c`

`f(x+ period) = f(x+(2pi)/c)=a+bcos(c(x+(2pi)/c)+d)`

`=a+bcos((cx+d)+2pi)`

`=a+bcos(cx+d)`

`=f(x)`

Here, c = 1, and so, the period is `2pi`..