Q. Find an angle θ coterminal to 765∘, where 0∘≤θ<360∘.Answer:
Subtract 360°: To find an angle coterminal to 765° that lies between 0° and 360°, we need to subtract or add multiples of 360° until the angle falls within the desired range. Since 765° is greater than 360°, we will subtract multiples of 360°.Calculation: 765°−360°=405°
Subtract 360°: The result from the first step is still greater than 360°, so we need to subtract 360° once more.Calculation: 405°−360°=45°
Final Coterminal Angle: The result is now within the range of 0∘ to 360∘, so we have found the coterminal angle.
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