Question

Which represents the reference angle for 2pi/3?

Badges will be rewarded ;3

Answer 1

no, i have to have a response that is either 2pi/3, pi/3, pi/4, and pi/6

Answer 2

(2pi)/(3)

In standard position, the reference angle is the smallest angle between the terminal side and the x-axis.
pi-(2pi)/(3)

To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 3. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
pi*(3)/(3)-(2pi)/(3)

Complete the multiplication to produce a denominator of 3 in each expression.
(3pi)/(3)-(2pi)/(3)

Combine the numerators of all expressions that have common denominators.
((3pi-2pi))/(3)

Combine all like terms in the numerator.
(pi)/(3)

Hope this helps. :)

Answer 3

I strongly reccommed to look for it in the unit circle.