Question

Are 35° and -685° coterminal?

Answer 1

Answer:  YES

Step-by-step explanation:

Coterminal means they are located at the same place on the Unit Circle but are n-rotations clockwise or counterclockwise.

Start with 35° and continue to subtract 360° (which is one rotation) until you reach -685° or pass it.  If you reach -685°, then it is coterminal.  If you pass it, then it is not coterminal.

35° - 360° = -325°

                    -325° - 360° = -685°

So, -685° is 2 rotations counterclockwise to 35°, which means the two angles are coterminal to each other.