Understanding Angles and Trigonometric Functions

The video tutorial explains how to determine the reference angle and quadrant for an angle of 315 degrees. It demonstrates how to calculate the six trigonometric functions using both a reference triangle and the unit circle. The tutorial also covers rationalizing denominators for trigonometric values.

What is the reference angle for an angle of 315 degrees?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

In which quadrant does the terminal side of a 315-degree angle lie?

• Fourth Quadrant

• Third Quadrant

• Second Quadrant

• First Quadrant

Tags

CCSS.HSF.TF.A.2

What is the sine of 315 degrees using the reference triangle?

• -√2/2

• √2/2

• -1/√2

• 1/√2

Tags

CCSS.HSF.TF.A.2

What is the cosine of 315 degrees using the reference triangle?

• √2/2

• -1/√2

• 1/√2

• -√2/2

Tags

CCSS.HSF.TF.A.2

What is the tangent of 315 degrees using the reference triangle?

• 1

• Undefined

• 0

• -1

How do you rationalize the denominator of -1/√2?

• Multiply by 2/2

• Multiply by 1/1

• Multiply by √2/√2

• Multiply by √3/√3

Tags

CCSS.HSF.TF.A.2

What is the sine of 315 degrees using the unit circle?

• √2/2

• -√2/2

• 1/2

• -1/2

Tags

CCSS.HSF.TF.A.2

What is the cosine of 315 degrees using the unit circle?

• 1/2

• √2/2

• -1/2

• -√2/2

Tags

CCSS.HSF.TF.A.2

What is the secant of 315 degrees after rationalization?

• -2

• √2

• -√2

• 2

Tags

CCSS.HSF.TF.A.2

What is the cotangent of 315 degrees?

• Undefined

• -1

• 1

• 0

Tags

CCSS.HSF.TF.A.2