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 y=sinxy = \sin x for 0<x<3600^\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)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)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 π180\frac{\pi}{180}. 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