 10.1.1: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.2: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.3: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.4: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.5: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.6: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.7: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.8: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.9: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.10: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.11: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.12: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.13: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.14: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.15: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.16: In Exercises 116, solve the triangle ABC under thegiven conditions....
 10.1.17: Find the angles of the triangle whose vertices are10, 02, 15, 22, 1...
 10.1.18: Find the angles of the triangle whose vertices are13, 42, 16, 12, a...
 10.1.19: Two trains leave a station on different tracks. Thetracks make a an...
 10.1.20: One plane flies west from Cleveland at 350 milesper hour. A second ...
 10.1.21: The pitchers mound on a standard baseballdiamond (which is actually...
 10.1.22: If the straightline distance from home plate oversecond base to th...
 10.1.23: A stake is located 10.8 feet from the end of aclosed gate that is 8...
 10.1.24: The distance from Chicago to St. Louis is440 kilometers, from St. L...
 10.1.25: A boat runs in a straight line for 3 kilometers,then makes a turn a...
 10.1.26: A plane flies in a straight line at 400 miles perhour for 1 hour an...
 10.1.27: The side of a hill makes an angle of with thehorizontal. A wire is ...
 10.1.28: Two ships leave port, one traveling in a straightcourse at 22 miles...
 10.1.29: An engineer wants to measure the width CD of asinkhole. He places a...
 10.1.30: A straight tunnel is to be dug through a hill. Twopeople stand on o...
 10.1.31: One diagonal of a parallelogram is 6 centimeterslong, and the other...
 10.1.32: A parallelogram has diagonals of lengths 12 and15 inches that inter...
 10.1.33: A ship is traveling at 18 miles per hour fromCorsica to Barcelona, ...
 10.1.34: In aerial navigation, directions are given in degreesclockwise from...
 10.1.35: Assume that the earth is a sphere of radius 3980miles. A satellite ...
 10.1.36: Two planes at the same altitude approach anairport. One plane is 16...
 10.1.37: Assuming that the circles in the following figureare mutually tange...
 10.1.38: Assuming that the circles in the following figureare mutually tange...
 10.1.39: Critical Thinking A rope is attached at points Aand B and taut arou...
 10.1.40: Critical Thinking Use the Law of Cosines to provethat the sum of th...
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
Get Full SolutionsChapter 10.1: The Law of Cosines includes 40 full stepbystep 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 stepbystep solutions from this chapter.

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis 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.

Leastsquares 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

Piecewisedefined 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 + an1x n1 + 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 xvalue of the right side of the viewing window,.

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