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# Solutions for Chapter 8.3: THE PRODUCT-TO-SUM AND SUM-TO-PRODUCT FORMULAS

## Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition

ISBN: 9780534402303

Solutions for Chapter 8.3: THE PRODUCT-TO-SUM AND SUM-TO-PRODUCT FORMULAS

Solutions for Chapter 8.3
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##### ISBN: 9780534402303

Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. Since 51 problems in chapter 8.3: THE PRODUCT-TO-SUM AND SUM-TO-PRODUCT FORMULAS have been answered, more than 25529 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. Chapter 8.3: THE PRODUCT-TO-SUM AND SUM-TO-PRODUCT FORMULAS includes 51 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Anchor

See Mathematical induction.

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Descriptive statistics

The gathering and processing of numerical information

• Dihedral angle

An angle formed by two intersecting planes,

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Equation

A statement of equality between two expressions.

• Frequency table (in statistics)

A table showing frequencies.

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Natural exponential function

The function ƒ1x2 = ex.

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Sample standard deviation

The standard deviation computed using only a sample of the entire population.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.