Math Problem Statement
Given the function y=sin x for 0°<x<360° draw the graph on its own system of axes
Solution
Here is the graph of the function for . 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:
- How does the graph of change if the amplitude is increased or decreased?
- What is the effect of phase shift on the sine function?
- How would the graph look if the period were changed (e.g., )?
- Can you explain the difference between sine and cosine graphs?
- How would you graph a sine function with both amplitude and phase changes?
Tip: To convert degrees to radians, multiply the degree measure by . This is essential when using trigonometric functions in many applications, especially in calculus.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Sine Function
Graphing Functions
Formulas
y = sin(x)
Radians to Degrees: degrees = radians * (180/π)
Theorems
Unit Circle Theorem
Suitable Grade Level
Grades 9-12