Given the angle:
[tex]\frac{5\pi}{4}[/tex]In order to find the positive and negative coterminal angles to the given angle, you can add and subtract 2π radians
Hence,
Positive co-terminal angle would be:
[tex]\begin{gathered} \frac{5\pi}{4}+2\pi \\ =\frac{5\pi+8\pi}{4} \\ =\frac{13\pi}{4} \end{gathered}[/tex]Negative co-terminal angle would be:
[tex]\begin{gathered} \frac{5\pi}{4}-2\pi \\ =\frac{5\pi-8\pi}{4} \\ =\frac{-3\pi}{4} \end{gathered}[/tex]Therefore, the Positive and Negative coterminal angles are:
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