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Find an angle theta coterminal to 698^(@), where 0^(@) <= theta < 360^(@). Answer:

Find an angle θ \theta coterminal to 698∘ 698^{\circ} , where 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Find an angle θ \theta coterminal to 698∘ 698^{\circ} , where 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:
  1. Subtract 360360°: To find an angle coterminal with 698°698° that lies between 0°0° and 360°360°, we need to subtract or add multiples of 360°360° until the angle is within the desired range.\newlineFirst, let's subtract 360°360° from 698°698° to see if we get an angle in the required range.\newline698°−360°=338°698° - 360° = 338°
  2. Check if within range: Since 338∘338^\circ is less than 360∘360^\circ and greater than or equal to 0∘0^\circ, it is within the desired range. Therefore, 338∘338^\circ is coterminal with 698∘698^\circ and satisfies the condition 0^\circ \leq \theta < 360^\circ.

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