To find the reference angle for an angle measuring 302°, follow these steps:
1. Identify the Quadrant:
First, determine in which quadrant the given angle lies. Angles between 270° and 360° are in the fourth quadrant. Since 302° is between 270° and 360°, it is in the fourth quadrant.
2. Finding the Reference Angle:
In the fourth quadrant, the reference angle can be found by subtracting the given angle from 360°. This is because the reference angle in the fourth quadrant is the acute angle formed with the x-axis.
Therefore, the calculation is:
[tex]\[
\text{Reference angle} = 360° - 302°
\][/tex]
3. Perform the Subtraction:
Now, perform the subtraction to find the reference angle.
[tex]\[
360° - 302° = 58°
\][/tex]
Thus, the reference angle for 302° is [tex]\( 58° \)[/tex].
