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:
[tex]\frac{33\pi}{10}-2\pi=3\frac{3\pi}{10}-2\pi=1\frac{3}{10}\pi[/tex]Thus, the coterminal angle within the given range is
[tex]1\frac{3}{10}\pi\text{ or }\frac{13}{10}\pi[/tex]