Trigonometric Functions and Reference Angles

The video tutorial explains how to find the exact values of trigonometric functions for specific angles using reference triangles. It covers the conversion of radians to degrees and the use of special right triangles to determine the values of secant, cosine, and tangent for given angles. The tutorial emphasizes understanding the reference triangle method without relying on memorizing the unit circle.

What is the primary focus when finding exact values of trigonometric functions?

• Memorizing the unit circle

• Understanding special right triangles

• Using a calculator

• Learning all trigonometric identities

Tags

CCSS.HSF.TF.A.1

How do you convert radians to degrees?

• Multiply by 180/π

• Add 180

• Multiply by π/180

• Divide by π

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CCSS.HSF.TF.B.7

What is the reference angle for secant of 5π/4?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

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CCSS.HSF.TF.A.2

What is the cosine of 2π/3?

• 1/2

• -1/2

• √3/2

• -√3/2

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CCSS.HSF.TF.A.2

In which quadrant is the angle 2π/3 located?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

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CCSS.HSF.TF.A.2

What is the reference angle for tangent of -11π/6?

• 60 degrees

• 45 degrees

• 90 degrees

• 30 degrees

How do you handle negative angles when drawing reference triangles?

• Turn clockwise

• Ignore the negative sign

• Add 360 degrees

• Turn counterclockwise

Tags

CCSS.HSF.TF.A.2

What is the tangent of -11π/6?

• 1/√3

• -1/√3

• √3

• -√3

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CCSS.HSF.TF.A.2

What is the significance of the reference triangle in trigonometry?

• It is used only for secant

• It is a historical concept

• It helps in memorizing angles

• It simplifies calculations

Tags

CCSS.HSF.TF.A.2

What will the next video focus on?

• Using calculators for trigonometry

• Memorizing the unit circle

• Utilizing the unit circle for quadrantal angles

• Learning new trigonometric identities

Tags

CCSS.HSF.TF.A.2