Q. Find an angle θ coterminal to 751∘, where 0∘≤θ<360∘.Answer:
Subtract 360° from 751°: To find an angle coterminal to 751° that lies between 0° and 360°, we need to subtract or add multiples of 360° until the angle falls within the desired range.
Subtract 360° from 391°: Since 751° is greater than 360°, we will subtract 360° from it until we get an angle that is less than 360°.Calculation: 751°−360°=391°
Subtract 360° from 31°:391° is still greater than 360°, so we subtract 360° once more.Calculation: 391°−360°=31°
Final Coterminal Angle:31∘ is between 0∘ and 360∘, so it is the coterminal angle we are looking for.
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