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Answer:

The co terminal angles are [tex]\frac{7\pi }{3} and \frac{10\pi }{3}[/tex]

Step-by-step explanation:

Co terminal angles:-

Co terminal angles are angles who share the same initial side and terminal sides.

The co terminal angles is as adding or subtraction [tex][tex]2\pi  or  \pi[/tex][/tex] to each angle,depending on whether the given angle is in degrees or radians.

Given angle is [tex]\frac{4\pi }{3}[/tex]

now co terminal angles are

  • [tex]2\pi + \frac{4\pi }{3} = \frac{6\pi+4\pi  }{3} =\frac{10\pi }{3}[/tex]
  • [tex]\pi +\frac{4\pi }{3}=\frac{3\pi +4\pi }{3}  = \frac{7\pi }{3}[/tex]

The co-terminal angles are [tex]\frac{10\pi }{3} and \frac{7\pi }{3}[/tex]

raphealnwobi

The coterminal angles are 10π/3 and -2π/3

Coterminal angles are angles with a common terminal side. The positive coterminal angle is gotten by adding 360 for degrees or 2π(rad) to the angle while the negative coterminal angle is gotten by subtracting 360 for degrees or 2π(rad) from the angle.

Given an angle of 4π/3:

Positive co-terminal angle = 4π/3 + 2π = 10π/3

Negative co-terminal angle = 4π/3 - 2π = -2π/3

Hence the coterminal angles are 10π/3 and -2π/3

Find out more at: https://brainly.com/question/23093580

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