Trigonometric Functions and Reference Angles

The video tutorial explains how to determine the exact trigonometric function values using reference triangles. It focuses on finding the six trigonometric function values for an angle of 5π/4 radians. The tutorial covers sketching the angle in standard position, forming the reference triangle, and calculating the sine, cosine, secant, cosecant, tangent, and cotangent values. The video emphasizes working with radians and rationalizing denominators for sine and cosine values.

What is the primary focus of the video tutorial?

• Learning about the unit circle

• Understanding the Pythagorean theorem

• Determining trigonometric function values using reference triangles

• Converting radians to degrees

Tags

CCSS.5.G.A.1

What is the initial side of the angle in standard position?

• Along the negative X-axis

• Along the negative Y-axis

• Along the positive X-axis

• Along the positive Y-axis

In which quadrant is the terminal side of the angle 5π/4 radians located?

• Second quadrant

• First quadrant

• Fourth quadrant

• Third quadrant

Tags

CCSS.8.G.B.8

What are the lengths of the legs in the 45-45-90 reference triangle?

• 1 and 2

• 1 and 1

• √2 and √2

• 1 and √2

Tags

CCSS.HSF.TF.A.2

What is the sine of 5π/4 radians after rationalizing the denominator?

• -√2/2

• √2/2

• 1/√2

• -1/√2

Tags

CCSS.HSF.TF.A.2

What is the cosine of 5π/4 radians after rationalizing the denominator?

• 1/√2

• -√2/2

• -1/√2

• √2/2

Tags

CCSS.HSF.TF.A.2

What is the secant of 5π/4 radians?

• -1/√2

• √2

• -√2

• 1/√2

Tags

CCSS.HSF.TF.A.2

What is the tangent of 5π/4 radians?

• 1

• Undefined

• 0

• -1

Tags

CCSS.HSF.TF.A.2

What is the cotangent of 5π/4 radians?

• Undefined

• -1

• 1

• 0

Tags

CCSS.HSF.TF.A.2

What is the cosecant of 5π/4 radians?

• -1/√2

• √2

• -√2

• 1/√2

Tags

CCSS.HSF.TF.A.2