/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 41 (a) Use the Product-to-Sum Formu... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 41 (page 550)

(a) Use the Product-to-Sum Formulas to express each product as a sum, and

(b) Use the method of adding y-coordinates to graph each function on the interval 0,2蟺

f(x)=sin(2x)sinx

Short Answer

Expert verified

(a)f(x)=12cosx-cos(3x)

(b)

Step by step solution

01

Step 1. Given Information

The given function isf(x)=sin2xsinx

02

Part(a) Step 1. Calculation

First multiply and divide the given function by 2 and then use the product formula to obtained the required result.

f(x)=12(2sin(2x)sinx)=12(cos(2x-x)-cos(2x+x))=12cosx-cos(3x)

03

Part(b) Step 1. Explanation and Graph

Graph the component functions obtained in above part in same coordinate system and then select several values of x at which we can compute the value of y.

Plot the points and connect them to get the required graph.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A special case of the Law of Cosines is the Pythagorean theorem.

Cost of a Triangular Lot The dimensions of a triangular lot are 100 feet by 50 feet by 75 feet. If the price of such land is $3 per square foot, how much does the lot cost?

The hypotenuse of a right triangle is 5 inches. If one leg is 2 inches, find the degree measure of each angle.

What do you do first if you are asked to solve a triangle and are given one side and two angles?

A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. If the angle of elevation is found to be25掳, how far offshore is the boat?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.