Find the reference angle of an angle in radians in the third quadrant

The video tutorial explains how to find reference angles, focusing on the concept of radians and their relation to circles. It covers the calculation of reference angles in different quadrants, using the example of 3.5 radians. The tutorial emphasizes the importance of understanding radians and provides rules for determining reference angles based on quadrant location.

What is a reference angle?

• An angle measured in degrees

• The acute angle between the terminal side and the x-axis

• An angle greater than 180 degrees

• The angle between the y-axis and the terminal side

How is a radian defined in terms of a circle?

• As the area of the circle

• As the circumference of the circle

• As the radius wrapped around the circle

• As the diameter of the circle

If an angle is in the third quadrant, how do you find its reference angle?

• Add π to the angle

• Subtract π from the angle

• Multiply the angle by π

• Divide the angle by π

What is the reference angle for 3.5 radians?

• 0.35841 radians

• 1.5 radians

• 2.5 radians

• 3.14159 radians

Which rule applies to finding reference angles in the second quadrant?

• Subtract the angle from π

• Add π to the angle

• Add the angle to 180 degrees

• Subtract the angle from 180 degrees