Question

How do you find the coterminal with the angle `30^circ`?

Answer 1

Add or subtract any whole number multiple of `360^@`.

Explanation:

We con go all the way around the circle in either diection and and up on the positive `x` axis. If we then go `30^@` more, we get an angle that is coterminal with `30^@`.

`360^@+30^@ = 390^@` is coterminal with `30^@`.

`2xx360^@ + 30^@ = 780^@+30^@ = 810^@` is coterminal with `30^@`.

`10xx360^@ + 30^@ = 3600^@+30^@ = 3630^@` is coterminal with `30^@`.

`-360^@+30^@ = -330^@` is coterminal with `30^@`.

`4xx-360^@+30^@ = -1440^@+30^@ = -1410^@` is coterminal with `30^@`.