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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