Reference Angles and Quadrants

The video tutorial explains how to find reference angles in radians, focusing on angles that are more challenging than usual. It covers the concept of reference angles as acute angles between 0 and π/2, excluding quadrantal angles. The tutorial includes six examples, demonstrating the process of finding reference angles for various angles, such as 16π/11, 9π/2, -6π/7, 11π/6, 36π/13, and 8π/5. Each example involves determining the quadrant and applying the appropriate formula to calculate the reference angle.

What is the range for an acute reference angle in radians?

• 0 to π/2

• π to 2π

• π/2 to π

• 0 to π

What is the midpoint between 0 and π/2?

• π/8

• π/6

• π/3

• π/4

In which quadrant does the reference angle for 16π/11 lie?

• Quadrant 2

• Quadrant 4

• Quadrant 1

• Quadrant 3

What is the reference angle for 16π/11?

• 8π/11

• 7π/11

• 6π/11

• 5π/11

What is the formula for finding a reference angle in Quadrant 3?

• π - θ

• θ - π

• θ + π

• 2π - θ

What is the reference angle for 16π/11 using the formula for Quadrant 3?

• 5π/11

• 6π/11

• 8π/11

• 7π/11

What is the reference angle for 16π/11 using the formula for Quadrant 3?

• 6π/11

• 5π/11

• 8π/11

• 7π/11

What is the reference angle for 16π/11 using the formula for Quadrant 3?

• 5π/11

• 6π/11

• 7π/11

• 8π/11

Why does 9π/2 not have a reference angle?

• It is negative

• It is too small

• It is a quadrantal angle

• It is too large

What is the co-terminal angle of 9π/2 after subtracting 2π twice?

• π

• 3π/2

• π/2

• 2π