Grade 10 Trigonometric Graphs Worksheet
This worksheet focuses on understanding and analyzing trigonometric graphs for sine, cosine, and tangent functions at a Grade 10 level.
Includes
Standards
Trigonometric Graphs
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. What is the amplitude of the function y = 3sin(2x) + 1?
1
2
3
4
2. What is the period of the function y = cos(x/2)?
π
2π
3π
4π
3. The vertical shift of the graph y = sin(x) - 5 is .
4. The phase shift of the graph y = cos(x + π/4) is .
5. The range of the function y = 2sin(x) is .
6. Describe how the graph of y = -cos(x) is transformed from the basic graph of y = cos(x).
7. Plot one full cycle of the function y = sin(x). Label the axes and key points (intercepts, maximums, minimums).
8. The graph of y = tan(x) has a period of 2π.
True
False