Question

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

Answer 1

The Solution.

Coterminal angles are angles that differ by a whole number of complete circles.

So, The coterminal angles of the given angle in the interval [0,2pi} is obtained as below:

`(33\pi)/(10)-2\pi=3(3\pi)/(10)-2\pi=1(3)/(10)\pi`

Thus, the coterminal angle within the given range is

`1(3)/(10)\pi\text{ or }(13)/(10)\pi`