Respuesta :

Answer: The figure is attached herewith.

Step-by-step explanation:  We are given to sketch a unit circle and label the terminal points corresponding to

[tex]\theta=\dfrac{\pi}{3},~2\dfrac{\pi}{3},~3\dfrac{\pi}{3},~4\dfrac{\pi}{3},~5\dfrac{\pi}{3}.\\\\\\\Rightarrow \theta=60^\circ,12^\circ,180^\circ,240^\circ,300^\circ.[/tex]

In the attached figure, we have drawn a unit circle, with centre at O(0,0) and radius 1 unit. We have labelled the points A, B, C, D and E corresponding to the angles below

∠AOX = 60°,

∠BOX = 120°,

∠COX = 180°,

∠DOX = 240°,

∠EOX = 300°.

And the coordinates are

[tex]A(\dfrac{1}{2},\dfrac{\sqrt 3}{2}),~B(-\dfrac{1}{2},sqrt 3), C(-1,0), D(-\dfrac{1}{2},-sqrt 3) and E(\dfrac{1}{{2},-\sqrt 3).

Thus, the answer is complete.

Ver imagen ColinJacobus