Tangent Values on Unit Circle

tan 7π/4

• -1

• 1

• √2/2

• undefined

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CCSS.HSF.TF.A.2

What is the value of tan(π/3) on the unit circle?

• √3

• 1

• 0

• 2

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CCSS.HSF.TF.A.2

What is the relationship between the unit circle and the trigonometric functions?

• Trigonometric functions are only applicable to squares, not circles

• The unit circle has no relationship with trigonometric functions

• The unit circle is used to calculate algebraic functions, not trigonometric functions

• The unit circle provides a visual representation of the values of trigonometric functions for different angles.

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CCSS.HSF.TF.A.2

How is the unit circle used to find trigonometric values?

• By using the coordinates of points on the circle to determine the sine, cosine, and tangent of angles.

• By using the radius to calculate the area of the circle

• By measuring the circumference of the circle

• By counting the number of points on the circle

Tags

CCSS.HSF.TF.A.2

Using the unit circle, explain how you can find the value of tangent of an angle both visually and algebraically. Use pi/4 as an example.

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CCSS.HSF.TF.A.2

tan(0^o)

• 1

• 0

• √2

• UND

Tags

CCSS.HSF.TF.A.2

What is the relationship between this circle and line?

• Tangent

• secant

• chord

• 😶

How does the unit circle help in understanding periodicity of trigonometric functions?

• It only works for acute angles

• It has no relevance to understanding trigonometric functions

• It is only applicable to calculus

• It provides a visual representation of the relationship between the angle and the trigonometric function values.

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CCSS.HSF.TF.A.4

The tangent function can be found using which of the following?

• x coordinate

• y divided by the x coordinate

• x divided by the y coordinate

• y

Tags

CCSS.HSF.TF.A.2

What radian measure corresponds to the point 

• π/4

• 3π/2

• 5π/4

• 7π/3

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CCSS.HSF.TF.A.2