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Find an angle a that is coterminal with an angle measuring -720°, where 0° < a < 360°.

1 Answer

2 votes

Explanation:

To find an angle that is coterminal with an angle measuring -720°, we need to add or subtract multiples of 360° until we get an angle between 0° and 360°.

We can start by adding 360° multiple times until we get a positive angle:

-720° + 360° = -360° (still negative) -360° + 360° = 0°

So, -720° is equivalent to an angle of 0° plus a full rotation of 360°.

Since we want an angle that is between 0° and 360°, we can just take a = 0°.

Therefore, an angle that is coterminal with an angle measuring -720° and between 0° and 360° is a = 0°.

answered
User Stone Mason
by
7.4k points
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