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# Solutions for Chapter 5.5: Multiple Angle and Product-to-Sum Formulas

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 5.5: Multiple Angle and Product-to-Sum Formulas

Solutions for Chapter 5.5
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##### ISBN: 9780618643448

This textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter 5.5: Multiple Angle and Product-to-Sum Formulas includes 139 full step-by-step solutions. Since 139 problems in chapter 5.5: Multiple Angle and Product-to-Sum Formulas have been answered, more than 20257 students have viewed full step-by-step solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780618643448. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Acceleration due to gravity

g ? 32 ft/sec2 ? 9.8 m/sec

• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Convenience sample

A sample that sacrifices randomness for convenience

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Identity properties

a + 0 = a, a ? 1 = a

• Initial value of a function

ƒ 0.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Perpendicular lines

Two lines that are at right angles to each other

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Remainder polynomial

See Division algorithm for polynomials.

• Response variable

A variable that is affected by an explanatory variable.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Second quartile

See Quartile.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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