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

Answer:

See graph

Step-by-step explanation:

We want to graph $y=\frac{1}{2}\cos(2x+60\degree)$ on the interval $-360\degree \le x \le 360\degree$

We need to plot some few points

$(-30\degree,\frac{1}{2})$

$(-15\degree,\frac{\sqrt{3}}{4})$

$(0\degree,\frac{1}{4})$

$(15\degree,0)$

$(30\degree,-\frac{1}{4})$

$(45\degree,-\frac{\sqrt{3}}{4})$

$(60\degree,-\frac{1}{2})$

$(75\degree,-\frac{\sqrt{3}}{4})$

$(90\degree,-\frac{1}{4})$

$(105\degree,0)$

$(120\degree,\frac{1}{4})$

$(135\degree,\frac{\sqrt{3}}{4})$

$(150\degree,\frac{1}{2})$

This will give us one cycle.

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

$-360\degree \le x \le 360\degree$