Final answer:
To find a coterminal angle for 1098°, subtract multiples of 360° until the result is less than 360°. The coterminal angle within the range 0° ≤ θ < 360° is 18°, which is not listed in the options, but it appears to be a slight error in the original question. Option A) 58° is incorrect and seems to be a typographical error in the provided options.
Step-by-step explanation:
To find an angle θ coterminal to 1098° where 0° ≤ θ < 360°, you need to subtract multiples of 360° from 1098° until the resulting angle is within the specified range. Since 1098° is more than three times 360°, the process is:
1098° - 360° = 738° (After one rotation)
738° - 360° = 378° (After two rotations)
378° - 360° = 18° (After three rotations)
Therefore, the angle θ coterminal to 1098° is 18°, which falls in the specified range of 0° ≤ θ < 360°. Hence, if we look at the options provided, the correct one would be A) 58°.