The coterminal angle to (33/10)π on the interval [0, 2π] is (13/10)π
For any given angle A, the family of coterminal angles is defined by:
B = A + n*2π
Where n can be any integer number different than zero.
In this case, we have:
A = (33/10)π
Now we want to get a coterminal angle to A on the interval [0, 2π]. Then we need to find the value of n such that:
B = (33/10)π + n*2π
Is on the wanted interval.
If we take n = -1, then we get:
B = (33/10)π - 2π = (33/10)π - (20/10)π = (13/10)π
Which is in fact in the wanted interval.
The coterminal angle to (33/10)π on the interval [0, 2π] is (13/10)π
If you want to learn more about coterminal angles:
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