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Grade 11 Trigonometric Functions Worksheet

This worksheet covers key concepts of trigonometric functions including unit circle, amplitude, period, phase shift, and graphing.

Grade 11 Math TrigonometryTrigonometric Functions
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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

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

Topics

TrigonometryFunctionsGrade 11Math
7 sections · Free to use · Printable
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Trigonometric Functions Review

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the amplitude of the function y = 3sin(2x - π) + 1?

a

1

b

2

c

3

d

π

2. Which of the following angles is coterminal with 45°?

a

-45°

b

315°

c

405°

d

225°

1. The   of a trigonometric function is half the difference between its maximum and minimum values.

2. The   of y = cos(ax) is 2π/|a|.

3. A positive phase shift moves the graph to the  .

1. Describe the transformation from y = sin(x) to y = -2sin(x + π/2) - 3.

2. Convert 210° to radians. Express your answer in terms of π.

Graph one full period of the function y = 2cos(x) - 1 on the coordinate plane below.

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

1. The range of y = arcsin(x) is [-π/2, π/2].

T

True

F

False

2. The period of y = tan(x) is 2π.

T

True

F

False