Math Problem Statement
Cosine Graph Amp = 2 Period = 2pi(1/2) = 4PI
Send an image of the graph
Solution
Here is the graph of the cosine function with an amplitude of 2 and a period of .
Would you like any details or explanations regarding this graph?
Here are 5 related questions to deepen your understanding:
- How does changing the amplitude affect the shape of the cosine graph?
- What happens to the graph if we change the period to instead of ?
- How would the graph change if the function was ?
- How can we determine the phase shift in a cosine function?
- What is the difference between the graphs of sine and cosine functions with the same amplitude and period?
Tip: The amplitude of a trigonometric function affects the height of the peaks and troughs, while the period affects how "stretched" or "compressed" the wave looks along the x-axis.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Cosine Function
Graphing Trigonometric Functions
Formulas
y = A * cos(Bx)
Period = 2π/B
Amplitude = |A|
Theorems
Basic properties of the cosine function
Suitable Grade Level
Grades 9-12