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# Solutions for Chapter 5.4: Product-to-Sum and Sum-to-Product Formulas ## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845 Solutions for Chapter 5.4: Product-to-Sum and Sum-to-Product Formulas

Solutions for Chapter 5.4
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##### ISBN: 9780321559845

Chapter 5.4: Product-to-Sum and Sum-to-Product Formulas includes 73 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Since 73 problems in chapter 5.4: Product-to-Sum and Sum-to-Product Formulas have been answered, more than 70720 students have viewed full step-by-step 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.

Key Calculus Terms and definitions covered in this textbook
• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Complex fraction

See Compound fraction.

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Double-angle 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.

• Half-plane

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

• Higher-degree 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 + ae-kx, 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.

• Power-reducing identity

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

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

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• yz-plane

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

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