Using the unit circle, the coordinates of the terminal point corresponding to [tex]\theta = 120^\circ[/tex] is: (-0.5, 0.866).
What is the unit circle?
For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, the angle is of [tex]\theta = 120^\circ[/tex], hence:
- [tex]\cos{\theta} = \cos{120^\circ} = -0.5[/tex].
- [tex]\sin{\theta} = \sin{120^\circ} = 0.866[/tex].
Hence the terminal point is:
(-0.5, 0.866).
More can be learned about the unit circle at https://brainly.com/question/16852127
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