The terminal point on the unit circle determined by an angle of 4pi/3 radians is given by:
[tex]\left(-\frac{1}{2}, -\frac{\sqrt{3}}{2}\right)[/tex]
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].
For the angle of 4pi/3, we have that:
- [tex]\sin{\left(\frac{4\pi}{3}\right)} = -\frac{\sqrt{3}}{2}[/tex]
- [tex]\cos{\left(\frac{4\pi}{3}\right)} = -\frac{1}{2}[/tex]
Hence the terminal point on the unit circle determined by an angle of 4pi/3 radians is given by:
[tex]\left(-\frac{1}{2}, -\frac{\sqrt{3}}{2}\right)[/tex]
More can be learned about the unit circle at https://brainly.com/question/16852127
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