Answer: x=2π/3 and x=4π/3
Step-by-step explanation:
The equation we have is [tex]\sqrt{3-2cosx} =2[/tex]. All we have to do is get cosine alone to find the 2 values of x.
[tex]3-2cosx=4\\-2cosx=1\\cosx=-\frac{1}{2}[/tex]
Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.
x=2π/3
x=4π/3
