Respuesta :
In a unit circle every angle is measured from the positive x-axis to its terminal line traveling counterclockwise; the reference angle is the smallest possible angle formed by the x-axis and the terminal line going either clockwise or counterclockwise.
Now, to find the reference angle we first need to determine in which quadrant the original angle is; then, depending on where the angle is, we calculate the reference angle by remembering the following rules:
• If the original angle is in the first quadrant then the reference angle is the same.
,• If the original angle is in the second quadrant then the refrence angle is found by the formula:
[tex]180-\theta[/tex]• If the original angle is in the third quadrant the reference angle is given by:
[tex]\theta-180[/tex]• If the original angle is in the fourth quadrant the reference angle is given by:
[tex]360-\theta[/tex]Now that we know this let's find the reference angle for 245°. This angle is in the third quadrant, and hence its reference angle is:
[tex]245-180=65[/tex]Therefore, the reference angle is 65°
