Understanding Trigonometric Functions Using the Unit Circle

The video tutorial explains how to determine trigonometric function values using the unit circle. It covers the basics of cosine, sine, and tangent, and demonstrates how to calculate these values for angles of 90, 150, and -60 degrees. The tutorial highlights the importance of the unit circle in simplifying these calculations and provides step-by-step examples to illustrate the process.

What is the x-coordinate on the unit circle used to determine?

• Cosine of the angle

• Sine of the angle

• Tangent of the angle

• Cotangent of the angle

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CCSS.HSF.TF.A.2

For an angle of 90 degrees, what is the value of sine?

• 0

• -1

• Undefined

• 1

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CCSS.HSF.TF.A.2

Why is the tangent of 90 degrees considered undefined?

• Because the angle is not on the unit circle

• Because sine is zero

• Because both sine and cosine are zero

• Because cosine is zero

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CCSS.HSF.TF.A.2

What is the cosine of 150 degrees?

• 1/2

• -Square root of 3/2

• -1/2

• Square root of 3/2

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CCSS.HSF.TF.C.8

How do you rationalize the tangent of 150 degrees?

• Multiply by 1

• Multiply by the square root of 3

• Multiply by 2

• Multiply by the square root of 3/3

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CCSS.HSF.TF.A.4

What is the sine of -60 degrees?

• 1/2

• -Square root of 3/2

• -1/2

• Square root of 3/2

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CCSS.HSF.TF.A.4

What is the tangent of -60 degrees after simplification?

• Square root of 3

• -1/Square root of 3

• -Square root of 3

• 1/Square root of 3

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In which direction do you rotate for a negative angle?

• Counterclockwise

• Downwards

• Clockwise

• Upwards

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CCSS.HSF.TF.A.2

What is the main advantage of using the unit circle for trigonometric functions?

• It provides exact values

• It simplifies calculations

• It is only for angles less than 90 degrees

• It is easy to memorize

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CCSS.HSF.TF.A.2

Which trigonometric function is determined by dividing the y-coordinate by the x-coordinate?

• Sine

• Cotangent

• Cosine

• Tangent

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CCSS.HSF.TF.A.2