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
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.
Unit Circle Exploration
Explore the unit circle, its angles, coordinates, and trigonometric values at Grade 10 level.
Inverse Trigonometric Functions Worksheet
A Grade 10 Math worksheet covering inverse trigonometric functions, including finding principal values and solving equations.
Law of Sines Worksheet
Practice applying the Law of Sines to solve for unknown sides and angles in non-right triangles.
Law of Cosines Worksheet
Practice applying the Law of Cosines to solve for unknown sides and angles in triangles.
Trigonometric Identities Worksheet
A Grade 10 Math worksheet covering fundamental trigonometric identities, including reciprocal, quotient, Pythagorean, and co-function identities.
Right Triangle Word Problems
This worksheet focuses on solving real-world problems using the principles of right triangles and trigonometry for Grade 10 students.