6. Which of the following is NOT coterminal to 337°?
23 deg
697 deg
-23 deg
-383 deg
1 answer:
Answer:
23º is not coterminal to 337º
Step-by-step explanation:
The coterminal angles (
) of 337º can be represented as:
![\theta=337\º+360\ºn, n \in \mathbb{Z}](https://tex.z-dn.net/?f=%5Ctheta%3D337%5C%C2%BA%2B360%5C%C2%BAn%2C%20n%20%5Cin%20%5Cmathbb%7BZ%7D)
If ![n=1](https://tex.z-dn.net/?f=n%3D1)
![\theta=337\º+360\º\\\theta=697](https://tex.z-dn.net/?f=%5Ctheta%3D337%5C%C2%BA%2B360%5C%C2%BA%5C%5C%5Ctheta%3D697)
If ![n=-1](https://tex.z-dn.net/?f=n%3D-1)
![\theta=337\º-360\º\\\theta=-23](https://tex.z-dn.net/?f=%5Ctheta%3D337%5C%C2%BA-360%5C%C2%BA%5C%5C%5Ctheta%3D-23)
If ![n=-2](https://tex.z-dn.net/?f=n%3D-2)
![\theta=337\º-720\º\\\theta=-383](https://tex.z-dn.net/?f=%5Ctheta%3D337%5C%C2%BA-720%5C%C2%BA%5C%5C%5Ctheta%3D-383)
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