Question

Write two angles coterminal to 5pi/7, one that’s positive and one that’s negative

Answer 1

As given by the question

There are given that the angle:

`(5\pi)/(7)`

Now,

To find a positive and negative coterminal angle, add and subtract 2pi to the given angle.

Then,

`\begin{gathered} (5\pi)/(7)+2\pi=(5\pi+14\pi)/(7) \\ =(19\pi)/(7) \end{gathered}`

And,

`\begin{gathered} (5\pi)/(7)-2\pi=(5\pi-14\pi)/(7) \\ =(-9\pi)/(7) \end{gathered}`

Hence, the positive and negative angles are shown below:

`(19\pi)/(7)\text{ and -}(9\pi)/(7)`