Question

Please help!
Find the positive and negative angles of smallest magnitude that are coterminal with pi/5.
The smallest positive angle is...?

Answer 1

pi/5 + 2pi, or
\[\frac{5\pi}{2}\]

Answer 2

adding 2 pi means you go completely around the circle, back to where you were originally

Answer 3

so the are COterminal

Answer 4

excuse me

Answer 5

my brain failed for a moment

Answer 6

1/5 + 2 isn't 2.5, it is 2.2

Answer 7

so actually \[\frac{11\pi}{5}\]

Answer 8

sorry about that

Answer 9

Oh, it's fine! Thanks for the help!

Answer 10

now for the negative angle, you would just subtract 2pi, to go back all the way around the circle again, and get \[\frac{-9\pi}{5}\]

Answer 11

Awesome, thanks!