Understanding Reference Triangles and Trigonometric Functions

This lesson covers using reference triangles to determine exact trigonometric function values for an angle of 11/4 Pi radians. It begins with sketching the angle in standard position, identifying the reference triangle, and calculating all six trigonometric function values. The lesson also includes rationalizing denominators and concludes with a summary of the key points.

What is the first step in solving the problem involving 11/4 Pi radians?

• Calculate the sine value

• Identify the reference angle

• Find the cotangent value

• Sketch the angle in standard position

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

How many radians is one complete rotation?

• 4 Pi radians

• 3 Pi radians

• 2 Pi radians

• 1 Pi radians

What is the reference angle for 11/4 Pi radians?

• Pi radians

• 1/2 Pi radians

• 1/4 Pi radians

• 3/4 Pi radians

In which quadrant is the angle 11/4 Pi radians located?

• First quadrant

• Fourth quadrant

• Second quadrant

• Third quadrant

Tags

CCSS.HSF.TF.A.2

What is the sine value of 11/4 Pi radians?

• sqrt(2)/2

• 1/2

• 1/sqrt(2)

• 1

Tags

CCSS.HSF.TF.A.2

What is the cosine value of 11/4 Pi radians?

• 1/sqrt(2)

• sqrt(2)/2

• -1/sqrt(2)

• -sqrt(2)/2

Tags

CCSS.HSF.TF.A.2

What is the tangent value of 11/4 Pi radians?

• -1

• 1

• Undefined

• 0

Tags

CCSS.HSF.TF.A.2

What is the secant value of 11/4 Pi radians?

• 1/sqrt(2)

• sqrt(2)

• -1/sqrt(2)

• -sqrt(2)

Tags

CCSS.HSF.TF.A.2

What is the cosecant value of 11/4 Pi radians?

• -sqrt(2)

• -1/sqrt(2)

• sqrt(2)

• 1/sqrt(2)

Tags

CCSS.HSF.TF.A.2

What is the cotangent value of 11/4 Pi radians?

• Undefined

• 0

• -1

• 1

Tags

CCSS.HSF.TF.A.2