Circular Functions and Their Values

Mr. Peter, a pre-calculus teacher, covers circular functions in this video. He explains how to compute exact values of circular functions on the Cartesian plane using the unit circle's symmetry. The video includes examples with 45-degree and 210-degree angles, demonstrating how to find trigonometric values. It also discusses quadrantal angles and rotations, concluding with a preview of the next week's topics.

What is the main objective of the lesson on circular functions?

• To learn about linear functions

• To compute exact values of circular functions on the Cartesian plane

• To understand algebraic expressions

• To explore geometric shapes

What property of the unit circle helps in identifying coordinates of special angles?

• Its size

• Its position on the Cartesian plane

• Its color

• Its symmetry with respect to the x-axis, y-axis, and origin

In a unit circle, what is the value of the hypotenuse?

• Square root of 2

• 0

• 2

• 1

What is the cosine value for a 45-degree angle in a unit circle?

• 0

• Square root of 2 over 2

• 1

• Square root of 3 over 2

What is the reference angle for 210 degrees?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

In which quadrant is the angle 210 degrees located?

• First quadrant

• Second quadrant

• Fourth quadrant

• Third quadrant

What is the sine value for 210 degrees?

• Square root of 3 over 2

• -1/2

• -Square root of 3 over 2

• 1/2

What is the cosine value for 210 degrees?

• -Square root of 3 over 2

• Square root of 3 over 2

• 1/2

• -1/2

What is the secant value for 210 degrees after rationalizing the denominator?

• 2

• 2 times square root of 3 over 3

• -2 times square root of 3 over 3

• -2

What is the tangent value for 210 degrees?

• Square root of 3 over 3

• -Square root of 3 over 3

• 1

• -1