Question

How to find the positive and negative coterminal angles of 13

Answer 1

- To find the coterminal angle for angles expressed in radians, we have;

`\theta\pm2\pi n`

- Thus, we have:

`\begin{gathered} \theta=(11\pi)/(12) \\ \\ \text{ Let }n=1 \\ \theta-2\pi=(11)/(12)\pi-2\pi=-(13\pi)/(12) \\ \\ \text{ Also,} \\ \theta+2\pi=(11)/(12)\pi+2\pi=(35)/(12)\pi \end{gathered}`

Final Answer

`\begin{gathered} Positive:(35)/(12)\pi \\ \\ Negative:-(13\pi)/(12) \end{gathered}`