Sine Graph

Given A sin bx 
Amplitude  = | a |
Period = 2pi/B

Amp = 5
Preriod = 2pi / 2 = pi

Graph this problem

Here's the graph of the sine function \( 5 \sin(2x) \), with:

- **Amplitude**: 5 (the maximum value the graph reaches is 5 and the minimum is -5).
- **Period**: \( \frac{2\pi}{2} = \pi \), meaning the graph completes one full cycle every \( \pi \) units along the x-axis.

Would you like any more details or have any further questions?

Here are some related questions:
1. What happens to the sine graph if we change the amplitude to a negative value?
2. How does the sine graph behave when the period increases?
3. What are the key differences between sine and cosine graphs?
4. How do phase shifts affect the sine graph?
5. What are the applications of sine waves in real-life scenarios?

**Tip**: The period of a sine function is always determined by the coefficient \(B\) in \( \sin(Bx) \). The larger \(B\) is, the shorter the period becomes!

Given A sin bx 
Amplitude = | a |
Period = 2pi/B
Amp = 5
Period = 2pi / 2 = pi
Graph this problem

Explore how to graph the sine function 5sin(2x), including key concepts like amplitude of 5 and a period of π. This problem highlights fundamental trigonometric concepts and is suitable for students in Grades 10-12.

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