Reference Angles and Radian Measures

The video tutorial explains how to find reference angles for angles given in radians. It covers several examples, including angles like 5π/6, 11π/4, -8/3π, and -3π/4. The instructor demonstrates how to convert these angles into reference angles by using arithmetic and understanding the position of angles in different quadrants. The tutorial emphasizes careful arithmetic and understanding of radians to avoid common mistakes.

What is the full circle in radians?

• 4π

• 3π

• 2π

• π

In which quadrant does the angle 5π/6 lie?

• Quadrant II

• Quadrant III

• Quadrant I

• Quadrant IV

What is the reference angle for 5π/6?

• π/4

• π/3

• π/2

• π/6

What is the reference angle for an angle in Quadrant II?

• θ

• 2π - θ

• θ - π

• π - θ

What is the reference angle for an angle in Quadrant I?

• π - θ

• θ

• θ - π

• 2π - θ

What is the reference angle for an angle of π/2?

• π

• 0

• π/2

• 2π

What is the reference angle for an angle of 0?

• 0

• π/2

• π

• 2π

How do you convert 11π/4 into a mixed number?

• 2 and 3/4

• 2 and 1/4

• 3 and 3/4

• 3 and 1/4

What is the reference angle for 11π/4?

• π/6

• π/3

• π/2

• π/4

What is the equivalent of 2 and 3/4 in decimal form?

• 3.25

• 2.75

• 3.5

• 2.5