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°.