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.
Includes
Standards
Topics
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?
1
2
3
π
2. The period of the function y = cos(x/3) is:
π/3
2π/3
3π
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.
7. Graph one full period of the function y = cos(x) - 1 on the coordinate plane below.
8. The range of y = sin(x) is [-1, 1].
True
False
9. A phase shift of -π/2 means the graph shifts to the right by π/2 units.
True
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.
Related Worksheets
Tangent Function Mastery - Grade 10
This worksheet focuses on understanding and applying the tangent function in right-angled triangles and on the coordinate plane for Grade 10 students.
Angle of Depression Worksheet
A Grade 10 Math worksheet focusing on understanding and calculating the angle of depression in various real-world scenarios.
Trigonometric Equations Worksheet
A Grade 10 Math worksheet covering solving trigonometric equations, including sine, cosine, and tangent functions.
Sine and Cosine Graphs Worksheet
Understand and graph sine and cosine functions, including amplitude, period, and phase shift.
Angle of Elevation and Depression Worksheet
This worksheet focuses on understanding and applying the concepts of angle of elevation and depression in various real-world scenarios for Grade 10 students.
Sum and Difference Identities Worksheet
Grade 10 Math worksheet covering sum and difference identities for sine, cosine, and tangent.
Sine Law Ambiguous Case Worksheet
Explore the ambiguous case of the Sine Law with various triangle scenarios and problem-solving exercises for Grade 10 students.
Cotangent Functions Worksheet - Grade 10
Explore cotangent functions, their graphs, properties, and applications in trigonometry for Grade 10 students.