Answer:
Step-by-step explanation:
To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find the value of the angle in terms of π, and then convert it to an angle between 0 and 2π.
The given quantity 17π/4 can be simplified as:
17π/4 = (4 * 17π/4) / 4 = (68π/4) / 4 = 17π
So, 17π is equal to 17 times pi, and we can represent the angle in radians as 17π.
To convert the angle to an angle between 0 and 2π, we can use the following formula:
angle = (angle + 2πk) mod (2π)
where k is an integer.
We can set k = 0 and find:
angle = (17π + 2π*0) mod (2π) = (17π) mod (2π) = 1π
So, the angle between 0 and 2π that is coterminal with 17π/4 is 1π or 180 degrees.