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 y=sinxy = \sin x for the interval 0x3600^\circ \leq x \leq 360^\circ.

The maximum value of the sine function is 1, which occurs at x=90x = 90^\circ. Therefore, the coordinates of the maximum point of the graph are:

(90,1)(90^\circ, 1)

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:

  1. What is the general shape of the graph of y=sinxy = \sin x?
  2. How can we determine the amplitude of a sine function?
  3. What is the period of the sine function y=sinxy = \sin x?
  4. How does the graph of y=sinxy = \sin x change when we apply transformations like vertical shifts or scaling?
  5. 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