Question

graph each equation for the interval -360 is less than or equal to x and 360 is greater than or equal to x: y=1/2cos(2x+60)

Answer 1

See graph

Explanation:

We want to graph
`y=(1)/(2)\cos(2x+60\degree)` on the interval
`-360\degree \le x \le 360\degree`

We need to plot some few points

`(-30\degree,(1)/(2))`

`(-15\degree,(√(3))/(4))`

`(0\degree,(1)/(4))`

`(15\degree,0)`

`(30\degree,-(1)/(4))`

`(45\degree,-(√(3))/(4))`

`(60\degree,-(1)/(2))`

`(75\degree,-(√(3))/(4))`

`(90\degree,-(1)/(4))`

`(105\degree,0)`

`(120\degree,(1)/(4))`

`(135\degree,(√(3))/(4))`

`(150\degree,(1)/(2))`

This will give us one cycle.

We then use the pattern to complete the graph on the interval

`-360\degree \le x \le 360\degree`