Question

How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with `350^circ`?

Answer 1

Check the explanation below and ask any questions if you have them! Hope this helps!

Explanation:

Coterminal angles have different degrees, but they all have their initial side on the positive x-axis (it goes this way`->`) and share the same terminal side - hence the term "coterminal."

Coterminal angles differ by `360^@`. Therefore, we only need to add/subtract `360^@` to get our positive/negative coterminal angle measures.

Once this is known, it is easy to find a positive coterminal angle:

`350^@+360^@=710^@`

Finding a negative coterminal angle becomes trickier.

`350^@-360^@`

`=-(360^@-350^@)`

`=-10^@`