Given the function y=sin x for 0°<x<360° draw the graph on its own system of axes

Here is the graph of the function \( y = \sin x \) for \( 0^\circ < x < 360^\circ \). The sine wave oscillates between 1 and -1, completing one full cycle over this interval.

Would you like any further details or explanations?

Here are five related questions to expand on this:

1. How does the graph of \( y = \sin(x) \) change if the amplitude is increased or decreased?
2. What is the effect of phase shift on the sine function?
3. How would the graph look if the period were changed (e.g., \( y = \sin(2x) \))?
4. Can you explain the difference between sine and cosine graphs?
5. How would you graph a sine function with both amplitude and phase changes?

**Tip**: To convert degrees to radians, multiply the degree measure by \( \frac{\pi}{180} \). This is essential when using trigonometric functions in many applications, especially in calculus.

Given the function y=sin x for 0°<x<360°, draw the graph on its own system of axes.

Learn how to graph the sine function y = sin(x) for 0° < x < 360°. This tutorial covers the basics of trigonometry, how to plot a sine wave, and key concepts like amplitude, period, and the unit circle. Ideal for students in Grades 9-12 studying trigonometric functions.

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