Respuesta :

The coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

What is coterminal angles?

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

-4π/5

To find the coterminal angle, add and subtract by in the angle -4π/5

Coterminal angle:

= -4π/5 - 2π

= -14π/5

= -4π/5 + 2π

= 6π/5

Reference angle:

= π - 4π/5  (as the angle lies in the second quadrant)

= π/5

Thus, the coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

Learn more about the coterminal angles here:

brainly.com/question/23093580

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