Evaluating Trigonometric Functions with the Unit Circle

The video tutorial covers the use of the unit circle to evaluate trigonometric expressions, focusing on cosine, sine, and tangent. It explains the concept of reference angles and how to determine the signs of coordinates in different quadrants. The tutorial provides step-by-step examples for evaluating the cosine of 330 degrees, the tangent of 120 degrees, and the sine of 225 degrees, emphasizing the importance of understanding special angles and their coordinates.

What is the radius of the unit circle?

• 2 units

• 0.5 units

• 1 unit

• π units

Tags

CCSS.HSF.TF.A.2

What does the x-coordinate represent in trigonometric evaluations using the unit circle?

• Tangent

• Sine

• Cosine

• Cotangent

Tags

CCSS.HSF.TF.A.2

In which quadrant does a 330-degree angle terminate?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What is the reference angle for a 330-degree angle?

• 90 degrees

• 45 degrees

• 60 degrees

• 30 degrees

What is the cosine of 330 degrees?

• 1/2

• -√3/2

• 0

• √3/2

Tags

CCSS.HSF.TF.A.2

What is the tangent of 120 degrees?

• -1/√3

• -√3

• 1/√3

• √3

Tags

CCSS.HSF.TF.A.2

In which quadrant is the angle of 120 degrees located?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

What is the sine of 225 degrees?

• -1/2

• √2/2

• -√2/2

• 1/2

Tags

CCSS.HSF.TF.A.2

Which quadrant does a 225-degree angle fall into?

• Quadrant I

• Quadrant II

• Quadrant IV

• Quadrant III

What is the reference angle for a 225-degree angle?

• 45 degrees

• 135 degrees

• 315 degrees

• 225 degrees