Answer:
[tex]\theta=\frac{\pi}{3}, \frac{5\pi}{3}[/tex].
Step-by-step explanation:
[tex]2\cos(\theta)+2=3[/tex]
Subtract 2 on both sides:
[tex]2\cos(\theta)=3-2[/tex]
Simplify:
[tex]2\cos(\theta)=1[/tex]
Divide both sides by 2:
[tex]\cos(\theta)=\frac{1}{2}[/tex]
Now let's refer to the unit circle... When is the x-coordinate, 1/2?
There are 2 places this happens on [0,2pi].
One is in the first quadrant and the other in the fourth quadrant.
It is at [tex]\theta=\frac{\pi}{3}, \frac{5\pi}{3}[/tex].
