Given
[tex]-\frac{189\pi}{20}radian[/tex]
Find
Least positive angle that is coterminal
Explanation
to find the coterminal we add 2pi
[tex]\begin{gathered} -\frac{189\pi}{20}+2\pi \\ -\frac{149\pi}{20} \end{gathered}[/tex]
we add 2pi until we get positive
[tex]\begin{gathered} -\frac{149\pi}{20}+2\pi \\ \frac{-109\pi}{20} \\ \frac{-109\pi}{20}+2\pi \\ -\frac{69\pi}{20} \\ -\frac{69\pi}{20}+2\pi \\ -\frac{29\pi}{20} \\ -\frac{29\pi}{20}+20 \\ \frac{11\pi}{20} \end{gathered}[/tex]
Final Answer
The least positive angle = 11pi/20
