Question

How do you find the maximum of the graph `y=4sin(x+pi/3)`?

Answer 1

Maximum of `4sin(x+pi/3)` is `color(green)(4)`

Explanation:

`sin(theta)` has a range of `[+1.-1]` for all values of `theta` (including `(x+pi/3)`

Therefore `(x+pi/3)` has a maximum of `+1`

and `y=4 * sin(x+pi/3)` has a maximum of `4 xx (+1)=4`