Find the Quadrant of the Angle 45

Problem

45

Solution

1. Identify the standard position of the angle. An angle in standard position has its vertex at the origin and its initial side along the positive xaxis.

2. Determine the range of angles for each quadrant in the coordinate plane.

3. Compare the given angle to the quadrant boundaries: Quadrant I contains angles between 0 and 90

4. Conclude that since 0<45<90 the terminal side of the angle lies in the first quadrant.

Final Answer

Quadrant of *45=Quadrant I

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