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Find an angle theta coterminal to -341^(@), where 0^(@) <= theta < 360^(@). Answer:

Find an angle θ \theta coterminal to −341∘ -341^{\circ} , where 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:

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Inverses of sin, cos, and tan: radiansright chevron icon

Full solution

Q. Find an angle θ \theta coterminal to −341∘ -341^{\circ} , where 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:
  1. Add 360360°: To find a coterminal angle, we can add or subtract multiples of 360°360° to the given angle until the result is within the desired range of 0°0° to 360°360°. Since −341°-341° is negative, we will add 360°360° to find a positive coterminal angle.
  2. Calculation: Add 360°360° to −341°-341° to find a coterminal angle.\newlineCalculation: −341°+360°=19°-341° + 360° = 19°
  3. Check Range: Check if the resulting angle, 19°19°, is within the range of 0°0° to 360°360°.\newlineSince 19°19° is greater than 0°0° and less than 360°360°, it is within the desired range.

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