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Find the closest positive angle coterminal to
1024°.

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Final answer:

The closest positive angle coterminal to 1024° is 304°. This is found by subtracting multiples of 360° from 1024° until the result is between 0° and 360°.

Step-by-step explanation:

To find the closest positive angle coterminal to 1024°, we need to subtract or add multiples of 360° (which is one full rotation) until we get an angle that is between 0° and 360°. Since 1024° is a positive angle, we subtract multiples of 360°.

In this case, we have 1024° - 2(360°) = 304°. So, 304° is the closest positive angle coterminal to 1024°.

1024° - 2×360° = 1024° - 720° = 304°

However, we can further subtract 360° to get an even smaller positive angle:

304° - 360° = -56°

Since we want a positive angle, we add 360° to -56°:

-56° + 360° = 304°

Therefore, the closest positive angle coterminal to 1024° is 304°.

User T Graham
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