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Find an angle theta coterminal to -276^(@), where 0^(@) <= theta < 360^(@). Answer:

Find an angle θ \theta coterminal to −276∘ -276^{\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 −276∘ -276^{\circ} , where 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:
  1. Add 360360° to −276-276°: To find an angle coterminal with −276°-276° that is between 0°0° and 360°360°, we need to add or subtract multiples of 360°360° until we get an angle in the desired range. Since −276°-276° is negative, we will add 360°360° to it.\newlineCalculation: −276°+360°=84°-276° + 360° = 84°
  2. Check if angle is within range: Now we need to check if the new angle, 84∘84^\circ, is within the range 0^\circ \leq \theta < 360^\circ.\newlineSince 84∘84^\circ is greater than 0∘0^\circ and less than 360∘360^\circ, it is within the desired range.

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