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Find an angle theta coterminal to 612^(@), where 0^(@) <= theta < 360^(@). Answer:

Find an angle θ \theta coterminal to 612∘ 612^{\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 612∘ 612^{\circ} , where 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlineAnswer:
  1. Subtract 360360: To find an angle coterminal to 612612 degrees that is between 00 and 360360 degrees, we need to subtract or add multiples of 360360 degrees until the angle falls within the specified range. This is because adding or subtracting full rotations (360360 degrees) does not change the terminal side of the angle.\newlineCalculation: 612−360=252612 - 360 = 252
  2. Check within range: Since 252252 degrees is within the range of 00 to 360360 degrees, we have found our coterminal angle.

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