Questions: Consider the following angle. 45° (a) Draw the angle in standard position.

Transcript text: Consider the following angle. \[ 45^{\circ} \] (a) Draw the angle in standard position.

Solution

Step 1: Understanding Standard Position

An angle is in standard position if its vertex is located at the origin and its initial side lies along the positive x-axis.

Step 2: Drawing the 45° Angle

Since the given angle is 45°, the terminal side should be in the first quadrant, precisely bisecting the angle between the positive x and y axes.

The top right graph correctly shows the 45° angle in standard position.

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