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)

Question

asked May 5, 2020 99.5k views

1 Answer

Akaru · Answer 1 · 2020-05-09T05:25:24+0000

Answer:

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

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