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Grade 12 Tangent Function Worksheet

A Grade 12 Math worksheet focusing on understanding and applying the tangent function, including its graph, properties, and values.

Grade 12 Math TrigonometryTangent Function
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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2CCSS.MATH.CONTENT.HSF.TF.B.5

Topics

MathTrigonometryTangent FunctionGrade 12
8 sections · Free to use · Printable
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Tangent Function Mastery

Name:

Date:

Score:

Read each question carefully and provide your best answer. Show all your work for full credit.

1. Define the tangent function in terms of sine and cosine. Explain why it has asymptotes.

2. What is the value of tan(π/4)?

a

0

b

1

c

√3

d

Undefined

3. The period of the tangent function is  . The vertical asymptotes of y = tan(x) occur at x =   + nπ, where n is an integer.

4. Sketch one full period of the graph of y = tan(x). Label the asymptotes and x-intercepts.

-4-3-2-11234-4-3-2-11234

5. True or False: tan(x + π) = tan(x) for all real numbers x where tan(x) is defined.

T

True

F

False

6. Find all values of x in the interval [0, 2π) for which tan(x) = -1.

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