Question

How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with `620^circ`?

Answer 1

Add and subtract one full rotation `(360^@)` until you get a positive angle or negative angle, respectively.

Explanation:

If you have a `620^@` angle, you could either add `360^@`

`620^@ + 360^@ = 980^@`

or subtract `360^@`

`620^@-360^@ = 260^@`

Since both of these angles are positive co-terminal angles, either one is a correct answer to your question. In order to find a negative coterminal angle, simply keep subtracting until you get a negative number.

`620^@-360^@=260^@`

then

`260^@-360^@=-100^@ ->` a negative coterminal angle

Hope this helps!