Question

I need help with this practice problem from my prep guide in trigonometry I will add an additional pic to this, it is a graph that goes along with the practice problem

Answer 1

Notice that the graph of

`y=\cos (x+(\pi)/(2)),`

is the graph of

`y=\cos (x)`

translated π/2 to the left. Therefore, the midline and the maximum and minimum values are the same.

The midline of the function is

`y=0.`

And

`-1<\cos (x+(\pi)/(2))<1.`

A point on the midline is:

`(0,0).`

A maximum near the point above is:

`(-(\pi)/(2),1)\text{.}`

Answer: