Math Problem Statement
Sine Graph
Given A sin bx Amplitude = | a | Period = 2pi/B
Amp = 5 Preriod = 2pi / 2 = pi
Graph this problem
Solution
Here's the graph of the sine function , with:
- Amplitude: 5 (the maximum value the graph reaches is 5 and the minimum is -5).
- Period: , meaning the graph completes one full cycle every units along the x-axis.
Would you like any more details or have any further questions?
Here are some related questions:
- What happens to the sine graph if we change the amplitude to a negative value?
- How does the sine graph behave when the period increases?
- What are the key differences between sine and cosine graphs?
- How do phase shifts affect the sine graph?
- What are the applications of sine waves in real-life scenarios?
Tip: The period of a sine function is always determined by the coefficient in . The larger is, the shorter the period becomes!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Sine Functions
Graphing Trigonometric Functions
Formulas
Amplitude = |a|
Period = 2π / B
Theorems
Sine Wave Properties
Periodic Functions
Suitable Grade Level
Grades 10-12
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