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iren [92.7K]
2 years ago
5

Are 35° and -685° coterminal?

Mathematics
1 answer:
Naya [18.7K]2 years ago
6 0

Answer:  YES

<u>Step-by-step explanation:</u>

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.

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