Trigonometric Functions and Angles

The video tutorial explains how to determine exact trigonometric function values using reference triangles. It covers the sine of 120 degrees, cosine of 210 degrees, and sine of 315 degrees, demonstrating how to sketch angles in standard position, form reference triangles, and calculate function values. The tutorial also includes notes on 30-60-90 and 45-45-90 triangles, emphasizing the importance of understanding reference angles and rationalizing denominators.

What is the first step in determining trigonometric function values using reference triangles?

• Determining the trigonometric function value

• Sketching the angle in standard position

• Labeling the sides of the triangle

• Constructing the reference triangle

What is the reference angle for 120 degrees?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

In which quadrant is the angle 120 degrees located?

• Quadrant 3

• Quadrant 2

• Quadrant 1

• Quadrant 4

Tags

CCSS.HSF.TF.A.2

What is the cosine of 210 degrees?

• -√3/2

• √3/2

• -1/2

• 1/2

In which quadrant is the angle 210 degrees located?

• Quadrant 2

• Quadrant 1

• Quadrant 3

• Quadrant 4

What is the reference angle for 315 degrees?

• 30 degrees

• 90 degrees

• 45 degrees

• 60 degrees

Tags

CCSS.HSF.TF.C.8

What is the sine of 315 degrees after rationalizing the denominator?

• -1/√2

• 1/√2

• -√2/2

• √2/2

In which quadrant is the angle 315 degrees located?

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

Tags

CCSS.HSG.CO.C.10

What are the side lengths of a 30-60-90 triangle?

• 1, 1, 2

• 1, 2, √3

• 1, √3, 2

• 1, 1, √2

Tags

CCSS.8.G.B.8

What are the side lengths of a 45-45-90 triangle?

• 1, √3, 2

• 1, 1, √2

• 1, 1, 2

• 1, 2, √3

Tags

CCSS.8.G.B.8