Respuesta :

Answer:

7pi/5

Step-by-step explanation:

A coterminal angle is the original angle ± 2pi radians

So to find a coterminal between 0 and 2pi you will need to substract 2pi's until you get one within that interval

17pi/5 - 2pi = 17pi/5 - 10pi/5 = 7pi/5

and this is already the answer ^

The angle between 0 and 2 π that is coterminal with 17pi/5 is 7π/5.

What is a co-terminal angle ?

A co-terminal angle is an angle which has the value of ±2π with that of the given angle. The co-terminal angle should also lie within the given range of the angle.

Finding the required co-terminal angle -

Given angle is 17π/5 .

Given range is between 0 and 2π .

First co-terminal angle = 17π/5 + 2π = 27π/5 which does not lie within the given range of (0,2π) .

Second co-terminal angle = 17π/5 - 2π = 7π/5 which lie within the given range of (0,2π) .

Thus the angle between 0 and 2 π that is coterminal with 17pi/5 is 7π/5.

To learn more about co-terminal angle, refer -

https://brainly.com/question/3550035

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