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Find an angle theta coterminal to 938^(@), where 0^(@) <= theta < 360^(@). Answer:

Find an angle θ \theta coterminal to 938∘ 938^{\circ} , where 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:

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Full solution

Q. Find an angle θ \theta coterminal to 938∘ 938^{\circ} , where 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:
  1. Find Co-terminal Angle: To find an angle θ\theta coterminal to 938938 degrees where 00 degrees ≤θ<360\leq \theta < 360 degrees, we need to find the equivalent angle within one full circle (00 to 360360 degrees). We do this by subtracting or adding multiples of 360360 degrees from the given angle until the result is within the desired range.\newlineCalculation: 938−360×2=938−720=218938 - 360 \times 2 = 938 - 720 = 218 degrees.
  2. Calculate Equivalent Angle: We check if the angle 218218 degrees is within the range 00 degrees ≤θ<360\leq \theta < 360 degrees.\newlineSince 218218 is greater than 00 and less than 360360, it is within the desired range.

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