Question

The least positive angle that is coterminal with -189pi radians ___ radians

Answer 1

Given

`-(189\pi)/(20)radian`

Find

Least positive angle that is coterminal

Step-by-step explanation

to find the coterminal we add 2pi

`\begin{gathered} -(189\pi)/(20)+2\pi \\ -(149\pi)/(20) \end{gathered}`

we add 2pi until we get positive

`\begin{gathered} -(149\pi)/(20)+2\pi \\ (-109\pi)/(20) \\ (-109\pi)/(20)+2\pi \\ -(69\pi)/(20) \\ -(69\pi)/(20)+2\pi \\ -(29\pi)/(20) \\ -(29\pi)/(20)+20 \\ (11\pi)/(20) \end{gathered}`

Final Answer

The least positive angle = 11pi/20