Question

Find one positive AND one negative angle that are co-terminal with the given angle.(5)/4 Be sure to label and leave your answers in radians (not degrees).

Answer 1

Given the angle:

`(5\pi)/(4)`

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:

`\begin{gathered} (5\pi)/(4)+2\pi \\ =(5\pi+8\pi)/(4) \\ =(13\pi)/(4) \end{gathered}`

Negative co-terminal angle would be:

`\begin{gathered} (5\pi)/(4)-2\pi \\ =(5\pi-8\pi)/(4) \\ =(-3\pi)/(4) \end{gathered}`

Therefore, the Positive and Negative coterminal angles are: