Trigonometric Functions and 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 the angle -7π/6, emphasizing the importance of working with radians. The tutorial guides viewers through sketching the angle in standard position, forming the reference triangle, and calculating the sine, cosine, secant, cosecant, tangent, and cotangent values. The video also covers rationalizing denominators and checking the signs of triangle sides based on the quadrant.

What is the significance of the angle being negative in trigonometric calculations?

• It indicates a counterclockwise rotation.

• It indicates a clockwise rotation.

• It means the angle is in degrees.

• It means the angle is in radians.

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CCSS.HSF.TF.A.1

Why is it important to work with radians instead of converting to degrees?

• Degrees are not used in trigonometry.

• Radians are easier to calculate.

• Radians are the standard unit in trigonometry.

• Radians are only used for negative angles.

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CCSS.HSF.TF.B.7

What is the reference angle for -7π/6 radians?

• π/2 radians

• π/6 radians

• π/4 radians

• π/3 radians

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CCSS.HSF.TF.A.2

In which quadrant is the terminal side of the angle -7π/6 located?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

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CCSS.HSF.TF.A.2

What is the sine of -7π/6 radians?

• -√3/2

• √3/2

• -1/2

• 1/2

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CCSS.HSG.SRT.C.6

How do you find the secant of an angle?

• It is the reciprocal of cotangent.

• It is the reciprocal of tangent.

• It is the reciprocal of cosine.

• It is the reciprocal of sine.

What is the rationalized form of -2/√3?

• √3/2

• 2√3/3

• -√3/2

• -2√3/3

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CCSS.HSF.TF.A.2

What is the tangent of -7π/6 radians?

• 1/√3

• -1/√3

• √3

• -√3

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CCSS.HSF.TF.A.2

How is the cotangent of an angle related to the tangent?

• It is the reciprocal of secant.

• It is the reciprocal of cosine.

• It is the reciprocal of sine.

• It is the reciprocal of tangent.

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CCSS.HSF.TF.A.2

What is the cotangent of -7π/6 radians?

• -1/√3

• -√3

• √3

• 1/√3

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CCSS.HSF.TF.A.2