Math Problem Statement
What are the coordinates of the maximum point of y = sin x for 0° ≤ x ≤ 360°?
Solution
The graph shown represents the function for the interval .
The maximum value of the sine function is 1, which occurs at . Therefore, the coordinates of the maximum point of the graph are:
If you'd like a more detailed explanation or have any questions, feel free to ask!
Here are 5 related questions to further explore the topic:
- What is the general shape of the graph of ?
- How can we determine the amplitude of a sine function?
- What is the period of the sine function ?
- How does the graph of change when we apply transformations like vertical shifts or scaling?
- What are the coordinates of the minimum point of the sine graph within the given interval?
Tip: The sine function has a periodic nature, repeating its values at regular intervals.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Sine Function
Formulas
y = sin x
Theorems
Properties of the sine function: maximum and minimum points, periodicity
Suitable Grade Level
Grades 9-10