Explanation Given information: f ( x ) = − 2 sin x and g ( x ) = sin 2 x Formula used: For the standard function in the form y = A s i n ( B x + C ) : Period = 2 π B Phase shift = − C B Graph: We have the given equation f ( x ) = − 2 sin x is a sine function. Compare this equation with general equation y = − A sin B x . Therefore, after comparing A = 2 and B = 1 And period of the function is Period = 2 π 1 = 2 π Since period of the function is 2 π , x 0 π 2 π 3 π 2 2 π f 0 − 2 0 2 0 By, plotting the value of f with respect to x and connecting the points with smooth lines. The given equation g ( x ) = sin 2 x is a sine function. Compare this equation with general equation y = A sin B x

Blitzer: Precalculus Essentials_5 (5th Edition)

5th Edition

ISBN: 9780134578156

Author: Robert F. Blitzer

Publisher: PEARSON

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 4.5, Problem 71PE

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To graph: The functions f(x)=−2sinx and g(x)=sin2x in the same rectangular coordinate system for 0≤x≤2π. Obtain the graph of h by adding the corresponding y -coordinates on the graphs of f and g.

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Chapter 4.5, Problem 70PE

Chapter 4.5, Problem 72PE

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Chapter 4 Solutions

Blitzer: Precalculus Essentials_5 (5th Edition)

Ch. 4.1 - Check Point 1 A central angle, θ, in a circle of...Ch. 4.1 - Check Point 2 Convert each angle in degrees to...Ch. 4.1 - Check Point 3 Convert each angle in radians to...Ch. 4.1 - Check Point 4 Draw and label each angle in...Ch. 4.1 - Check Point 5 Find a positive angle less than 360°...Ch. 4.1 - Prob. 6CP Ch. 4.1 - Prob. 7CP Ch. 4.1 - Check Point 8 A circle has a radius of 6 inches....Ch. 4.1 - Check Point 9 Long before iPods that hold...Ch. 4.1 - Fill in each blank so that the resulting statement...

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To graph: The functions f ( x ) = − 2 sin x and g ( x ) = sin 2 x in the same rectangular coordinate system for 0 ≤ x ≤ 2 π . Obtain the graph of h by adding the corresponding y -coordinates on the graphs of f and g .

To graph: The functions f(x)=−2sinx and g(x)=sin2x in the same rectangular coordinate system for 0≤x≤2π. Obtain the graph of h by adding the corresponding y -coordinates on the graphs of f and g.

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