Understanding Trigonometric Functions Using the Unit Circle

The video tutorial explains how to determine trigonometric function values using the unit circle. It begins by introducing the concept and then sketches an angle of -990 degrees on the unit circle. The tutorial demonstrates how to find the intersection point of the angle on the unit circle and uses this point to calculate the cosine, sine, secant, and cosecant values. The video concludes by discussing why reference triangles are not used in this example and hints at their use in future examples.

What are the two main methods mentioned for determining trigonometric function values?

• Graphing and algebraic equations

• Unit circle and reference triangles

• Statistics and probability

• Calculus and geometry

How many degrees do you rotate clockwise to reach -990 degrees?

• 270 degrees

• 180 degrees

• 990 degrees

• 720 degrees

What is the intersection point of -990 degrees on the unit circle?

• (-1, 0)

• (0, -1)

• (1, 0)

• (0, 1)

What is the cosine value for the angle intersecting at (0, 1) on the unit circle?

• -1

• 0

• 1

• Undefined

What is the sine value for the angle intersecting at (0, 1) on the unit circle?

• 0

• 1

• Undefined

• -1

What is the significance of the point (0, 1) on the unit circle?

• It represents the maximum cosine value

• It is the origin

• It is the intersection of all angles

• It represents the maximum sine value

Why does secant theta not exist for the angle intersecting at (0, 1)?

• Because sine theta is 1

• Because sine theta is 0

• Because cosine theta is 0

• Because cosine theta is 1

What is the value of cosecant theta for the angle intersecting at (0, 1)?

• 0

• 1

• -1

• Undefined

What is the reciprocal of sine theta when sine theta is 1?

• -1

• 0

• 1

• Undefined

Why are reference triangles not used for quadrantal angles?

• They are too complex

• They are not accurate

• They cannot be sketched along the axis

• They provide incorrect values