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# Solutions for Chapter 10.1: The Law of Cosines

## Full solutions for Precalculus | 1st Edition

ISBN: 9780030416477

Solutions for Chapter 10.1: The Law of Cosines

Solutions for Chapter 10.1
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##### ISBN: 9780030416477

Chapter 10.1: The Law of Cosines includes 40 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780030416477. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 1. Since 40 problems in chapter 10.1: The Law of Cosines have been answered, more than 54523 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Compound interest

Interest that becomes part of the investment

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Cube root

nth root, where n = 3 (see Principal nth root),

• Horizontal translation

A shift of a graph to the left or right.

• Least-squares line

See Linear regression line.

• 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

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Positive numbers

Real numbers shown to the right of the origin on a number line.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Real part of a complex number

See Complex number.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Sinusoidal regression

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

• Slant line

A line that is neither horizontal nor vertical

• Solution set of an inequality

The set of all solutions of an inequality

• Xmax

The x-value of the right side of the viewing window,.

• yz-plane

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