Find the reference angle and sketch both angles in standard position

The video tutorial explains how to find the reference angle for an angle in radians, specifically 7π/4. It begins by defining the reference angle and the terminal side in standard position. The instructor then demonstrates how to graph 7π/4 in standard form and identifies its position in the 4th quadrant. The reference angle is calculated using a formula, and the result is verified algebraically to ensure accuracy. The tutorial concludes with a confirmation that the reference angle is π/4.

What is a reference angle?

• An angle that measures exactly 90 degrees

• An angle that is always in the first quadrant

• The angle formed by the x-axis and the y-axis

• The acute angle between the terminal side of an angle and the horizontal axis

In which quadrant is the angle 7π/4 located?

• Third quadrant

• Second quadrant

• Fourth quadrant

• First quadrant

What is the formula to find the reference angle when the terminal side is in the fourth quadrant?

• θ' = θ + π

• θ' = θ - π

• θ' = π - θ

• θ' = 2π - θ

How do you rewrite 2π to have the same denominator as 7π/4?

• 5π/4

• 6π/4

• 8π/4

• 7π/4

What is the reference angle for 7π/4?

• π/3

• π/2

• π/6

• π/4