How do you name an angle between $0^circ$ and $360^circ$ that is coterminal with the angle $-210^circ$ ?

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How do you name an angle between $0^circ$ and $360^circ$ that is coterminal with the angle $-210^circ$ ?

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Answer 1 · 2018-07-26T22:48:17

$150$ °

Explanation:

Angles that are coterminal with $-210$ ° can be written in the form:
$-210+360k$ where $k$ is some integer constant.

Using intuition, we pick out a value an integer for $k$ that would result in a value that lies between $0$ ° and $360$ °. In this case, $k$ would be $1$ , but if you don't have the intuition or you have time, you can just pick out several values for $k$ that would make it lie around values between $0$ ° and $360$ °.

Using $k=1$ :
$-210 +360(1)$ = $-210 + 360$ = $150$ °

or

Using several values for $k$ :
we get ... $-930$ °, $-570$ °, $-210$ °, $150$ °, $510$ °, $870$ °...

All of these values are coterminal, but the only one that lies between $0$ ° and $360$ ° is $150$ °.

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How do you name an angle between $0^circ$ and $360^circ$ that is coterminal with the angle $-210^circ$ ?

1 Answer

Explanation:

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Science

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Humanities

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How do you name an angle between 0^circ0^circ and 360^circ360^circ that is coterminal with the angle -210^circ-210^circ?

1 Answer

Explanation:

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Impact of this question

How do you name an angle between $0^circ$ and $360^circ$ that is coterminal with the angle $-210^circ$ ?