Question

Find an angle between 0 and 2pi that is coterminal with 33pi/10

Answer 1

The coterminal angle to (33/10)π on the interval [0, 2π] is (13/10)π

How to find the coterminal angle?

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:

brainly.com/question/3286526

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