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Find one positive angle and one negative angle that are coterminal with the given angle. Explain.

10. 255°

12. -800° ​

User Caladan
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1 Answer

5 votes

Answer: 10) 615° & -105°

12) -440° & 280°

Explanation:

Coterminal means it is in the exact same spot on the Unit Circle but one or more rotations clockwise or counterclockwise.

Since one rotation = 360°, add or subtract that from the given angle until you get a positive or negative number.

10) 255° + 360° = 615° (this is a POSITIVE coterminal angle to 255°)

255° - 360° = -105° (this is a Negative coterminal angle to 255°)

12) -800° + 360° = -440° (this is a Negative coterminal angle to -800°)

-440° + 360° = -80° (this is a Negative coterminal angle to -800°)

-80° + 360° = 280° (this is a POSITIVE coterminal angle to -800°)

User Lae
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