 5.4.5.6.118: The formula in a sin b =123cos1a  b2  cos1a + b24can be used to c...
 5.4.5.6.119: The formula cos a cos b =123cos1a  b2 + cos1a + b24can be used to ...
 5.4.5.6.120: The formulacos a sin b =12+ b2  sin1a  b24can be used to change a...
 5.4.5.6.121: The formula can sin a cos b =123sin1a + b2 + sin1a  b24be used to ...
 5.4.5.6.122: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.123: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.124: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.125: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.126: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.127: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.128: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.129: Now that you ve familiarized yourself with the formulas, in Exercis...
 5.4.5.6.130: The formula in a + sin b = 2 sin a + b2cosa  b2 can be used to cha...
 5.4.5.6.131: The formulasin a  sin b = 2 sin a  b2cosa+ b2 can be used to chan...
 5.4.5.6.132: The formula cos a + cos b = 2 cosa + b2a  b2can be used to change ...
 5.4.5.6.133: The formulacos a  cos b = 2 sina + b2sina  b2 can be used to cha...
 5.4.5.6.134: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.135: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.136: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.137: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.138: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.139: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.140: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.141: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.142: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.143: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.144: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.145: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.146: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.147: Now that you ve familiarized yourself with the second set of formul...
 5.4.5.6.148: In Exercises 31 38, verify each identity.
 5.4.5.6.149: In Exercises 31 38, verify each identity.
 5.4.5.6.150: In Exercises 31 38, verify each identity.
 5.4.5.6.151: In Exercises 31 38, verify each identity.
 5.4.5.6.152: In Exercises 31 38, verify each identity.
 5.4.5.6.153: In Exercises 31 38, verify each identity.
 5.4.5.6.154: In Exercises 31 38, verify each identity.
 5.4.5.6.155: In Exercises 31 38, verify each identity.
 5.4.5.6.156: In Exercises 39 44, the graph with the given equation is shown in a...
 5.4.5.6.157: In Exercises 39 44, the graph with the given equation is shown in a...
 5.4.5.6.158: In Exercises 39 44, the graph with the given equation is shown in a...
 5.4.5.6.159: In Exercises 39 44, the graph with the given equation is shown in a...
 5.4.5.6.160: In Exercises 39 44, the graph with the given equation is shown in a...
 5.4.5.6.161: In Exercises 39 44, the graph with the given equation is shown in a...
 5.4.5.6.162: The touchtone phone sequence for that most naive of melodies is gi...
 5.4.5.6.163: The touchtone phone sequence for Jingle Bells is given as follows:...
 5.4.5.6.164: In Exercises 47 50, use words to describe the given formula.
 5.4.5.6.165: In Exercises 47 50, use words to describe the given formula.
 5.4.5.6.166: In Exercises 47 50, use words to describe the given formula.
 5.4.5.6.167: In Exercises 47 50, use words to describe the given formula.
 5.4.5.6.168: Describe identities that can be verified using the sumtoproduct fo...
 5.4.5.6.169: Why do the sounds produced by touching each button on a touchtone ...
 5.4.5.6.170: In Exercises 53 56, graph each side of the equation in the same vie...
 5.4.5.6.171: In Exercises 53 56, graph each side of the equation in the same vie...
 5.4.5.6.172: In Exercises 53 56, graph each side of the equation in the same vie...
 5.4.5.6.173: In Exercises 53 56, graph each side of the equation in the same vie...
 5.4.5.6.174: In Exercise 45(a), you wrote an equation for the sound produced by ...
 5.4.5.6.175: In Exercise 46(a), you wrote an equation for the sound produced by ...
 5.4.5.6.176: In this section, we saw how sums could be expressed as products. Su...
 5.4.5.6.177: The producttosum formulas are difficult to remember because they ...
 5.4.5.6.178: I can use the sum and difference formulas for cosines and sines to ...
 5.4.5.6.179: I expressed sin 13 cos 48 asin 61  sin 352.
 5.4.5.6.180: I expressed as 2 cos 53 cos 6.
 5.4.5.6.181: Add the left and right sides of the identities and derive the produ...
 5.4.5.6.182: Subtract the left and right sides of the identities and derive the ...
 5.4.5.6.183: In Exercises 66 67, verify the given sumtoproduct formula. Start ...
 5.4.5.6.184: In Exercises 66 67, verify the given sumtoproduct formula. Start ...
 5.4.5.6.185: In Exercises 68 69, verify each identity.sin 2x + 1sin 3x + sin x2c...
 5.4.5.6.186: In Exercises 68 69, verify each identity.4 cos x cos 2x sin 3x = si...
 5.4.5.6.187: This activity should result in an unusual group display entitled Fr...
 5.4.5.6.188: Exercises 71 73 will help you prepare for the material covered in t...
 5.4.5.6.189: Exercises 71 73 will help you prepare for the material covered in t...
 5.4.5.6.190: Exercises 71 73 will help you prepare for the material covered in t...
Solutions for Chapter 5.4: ProducttoSum and SumtoProduct Formulas
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 5.4: ProducttoSum and SumtoProduct Formulas
Get Full SolutionsChapter 5.4: ProducttoSum and SumtoProduct Formulas includes 73 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Since 73 problems in chapter 5.4: ProducttoSum and SumtoProduct Formulas have been answered, more than 70720 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780321559845. This expansive textbook survival guide covers the following chapters and their solutions.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Complex fraction
See Compound fraction.

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Doubleangle identity
An identity involving a trigonometric function of 2u

Equilibrium price
See Equilibrium point.

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Higherdegree polynomial function
A polynomial function whose degree is ? 3

Interval
Connected subset of the real number line with at least two points, p. 4.

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

Order of magnitude (of n)
log n.

Partial sums
See Sequence of partial sums.

Phase shift
See Sinusoid.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Random variable
A function that assigns realnumber values to the outcomes in a sample space.

yzplane
The points (0, y, z) in Cartesian space.