# Math Help - Find and angle between 0 and 2pi that is coterminal with the angle given by - 77pi/5

1. ## Find and angle between 0 and 2pi that is coterminal with the angle given by - 77pi/5

find an angle between 0 and 2pi that is coterminal with the angle given by -77pi/5

thanks! much appreciated

2. $\frac{-77 \pi}{5} = -15 \pi -\frac{2 \pi}{5}$

Angle coterminal with $-\frac{2 \pi}{5} \mbox{ is } \frac{8 \pi}{5}$

3. sorry but can you explain that a bit because my math teacher is really picky about the work we show.

shouldnt it be:

-77pi/5 + 2pi + 2pi + 2pi + 2pi + 2pi + 2pi + 2pi + 2pi = 3pi/5 ?

4. oops, yeah sry, $\frac{3\pi}{5}$ is right.

$\frac{-77\pi}{5} = -15\pi -\frac{2\pi}{5}$ (You can check this).

Now $-15\pi$ is "being at the same place" as just $\pi$ .

So being at pi, $\frac{5\pi}{5} - \frac{2\pi}{5} = \frac{3\pi}{5}$