Type the equation in the form y = A * sin(wx) + B or y = A * cos(wx) + B. ### Graph of a Trigonometric Function**Description:**This is an image of a graph showcasing a trigonometric function. The graph is drawn on a Cartesian plane, with `y` and `x` axes labeled and marked.**Graph Explanation:**- **Axes:** - **Y-axis:** The vertical axis is labeled `y`. The y-values range from -3 to 3. - **X-axis:** The horizontal axis is labeled `x`. The x-values range from -3/2 to 3/2.- **Function Behavior:** - The graph depicts a sinusoidal curve, possibly a sine or cosine function, oscillating around the x-axis. - The curve starts at approximately (-3/4, 0) on the left, dips down reaching below y = -2. - The graph then rises, crossing the x-axis at the midpoint, and peaks slightly below y = 2. - Finally, it moves down again, crossing through (3/4, 0) and continuing the wave pattern.**Key Points:**- The cycle of the wave indicates periodicity, which is typical of trigonometric functions like sine or cosine.- The amplitude (the maximum absolute value of the function) can be inferred as slightly above 2 by observing the peaks and troughs.- The horizontal shift and the frequency are indicated by the positioning and spacing between the waves.This graph is useful in understanding properties of trigonometric functions, which are fundamental concepts in mathematics, especially in trigonometry and calculus.

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Description: Type the equation in the form y = A * sin(wx) + B or y = A * cos(wx) + B. ### Graph of a Trigonometric Function**Description:**This is an image of a graph showcasing a trigonometric function. The graph is drawn on a Cartesian plane, with `y` and `x`

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Answered: 2- 1- 3一寸

Math

Calculus

2- 1- 3一寸

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 63E

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Type the equation in the form y = A * sin(wx) + B or y = A * cos(wx) + B.

### Graph of a Trigonometric Function

**Description:**

This is an image of a graph showcasing a trigonometric function. The graph is drawn on a Cartesian plane, with `y` and `x` axes labeled and marked.

**Graph Explanation:**

- **Axes:**
- **Y-axis:** The vertical axis is labeled `y`. The y-values range from -3 to 3.
- **X-axis:** The horizontal axis is labeled `x`. The x-values range from -3/2 to 3/2.

- **Function Behavior:**
- The graph depicts a sinusoidal curve, possibly a sine or cosine function, oscillating around the x-axis.
- The curve starts at approximately (-3/4, 0) on the left, dips down reaching below y = -2.
- The graph then rises, crossing the x-axis at the midpoint, and peaks slightly below y = 2.
- Finally, it moves down again, crossing through (3/4, 0) and continuing the wave pattern.

**Key Points:**
- The cycle of the wave indicates periodicity, which is typical of trigonometric functions like sine or cosine.
- The amplitude (the maximum absolute value of the function) can be inferred as slightly above 2 by observing the peaks and troughs.
- The horizontal shift and the frequency are indicated by the positioning and spacing between the waves.

This graph is useful in understanding properties of trigonometric functions, which are fundamental concepts in mathematics, especially in trigonometry and calculus.

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