Home / Worksheets / Grade 10 / Math / Graphing Sine and Cosine Functions

Graphing Sine and Cosine Functions

A Grade 10 math worksheet focusing on understanding and graphing sine and cosine functions, including amplitude, period, phase shift, and vertical shift.

Grade 10 Math TrigonometryGraphing Sine and Cosine
Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSF.TF.B.5CCSS.MATH.CONTENT.HSF.TF.C.8

Topics

trigonometrysinecosinegraphinggrade 10
8 sections · Free to use · Printable
← More Math worksheets for Grade 10

Graphing Sine and Cosine Functions

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work for graphing problems.

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

a

1

b

2

c

3

d

π

2. The period of the function y = cos(x/3) is:

a

π/3

b

2π/3

c

3π

d

6π

3. The vertical shift of the function y = 4cos(x + π/2) - 2 is  .

4. A phase shift moves the graph of a trigonometric function   or  .

5. Describe how the graph of y = sin(x) changes to become the graph of y = -2sin(x) + 3.

6. Graph one full period of the function y = 2sin(x) on the coordinate plane below.

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

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

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

8. The range of y = sin(x) is [-1, 1].

T

True

F

False

9. A phase shift of -π/2 means the graph shifts to the right by π/2 units.

T

True

F

False

10. Write the equation of a sine function with an amplitude of 5, a period of π, a phase shift of π/4 to the left, and a vertical shift of 2 units up.