 9.2.1: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.2: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.3: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.4: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.5: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.6: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.7: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.8: In Exercises 1 8, assume that the vertices and the lengths of the s...
 9.2.9: In Exercises 9 and 10, use degree measure for your answers. In part...
 9.2.10: In Exercises 9 and 10, use degree measure for your answers. In part...
 9.2.11: (a) Show that there is no triangle satisfying the conditions a 2.0 ...
 9.2.12: (a) Show that there is no triangle with a 2, b 3, and 42. (b) Is th...
 9.2.13: Let b 1, a and 30. (a) Use the law of sines to show that sin A /2. ...
 9.2.14: Let a 30, b 36, and 20. (a) Show that 24.23 or 155.77 (rounding to ...
 9.2.15: Find the lengths a, b, c, and d in the following figure.Leave your ...
 9.2.16: In the following figure, is a straight line segment. Find the dista...
 9.2.17: Two points P and Q are on opposite sides of a river (see the sketch...
 9.2.18: Determine the angle u in the accompanying figure. Round your answer...
 9.2.19: In Exercises 1922, use the law of cosines to determine the length x...
 9.2.20: In Exercises 1922, use the law of cosines to determine the length x...
 9.2.21: In Exercises 1922, use the law of cosines to determine the length x...
 9.2.22: In Exercises 1922, use the law of cosines to determine the length x...
 9.2.23: In Exercises 23 and 24, refer to the following figure.In applying t...
 9.2.24: In Exercises 23 and 24, refer to the following figure.In applying t...
 9.2.25: In Exercises 25 and 26, use the given information to find the cosin...
 9.2.26: In Exercises 25 and 26, use the given information to find the cosin...
 9.2.27: In Exercises 2730, compute each angle of the given triangle. Where ...
 9.2.28: In Exercises 2730, compute each angle of the given triangle. Where ...
 9.2.29: In Exercises 2730, compute each angle of the given triangle. Where ...
 9.2.30: In Exercises 2730, compute each angle of the given triangle. Where ...
 9.2.31: In Exercises 3134, round each answer to one decimal place.A regular...
 9.2.32: In Exercises 3134, round each answer to one decimal place.Find the ...
 9.2.33: In Exercises 3134, round each answer to one decimal place.. In ^ABC...
 9.2.34: In Exercises 3134, round each answer to one decimal place.In parall...
 9.2.35: Town B is 26 miles from town A at a bearing of S15W. Town C is 54 m...
 9.2.36: Town C is 5 miles due east of town D. Town E is 12 miles from town ...
 9.2.37: An airplane crashes in a lake and is spotted by observers at lighth...
 9.2.38: (Continuation of Exercise 37) A rescue boat is in the lake, threef...
 9.2.39: (Refer to the following figure.) When the Sun is viewed from Earth,...
 9.2.40: Compute the lengths CD and CE in the accompanying figure. Round the...
 9.2.41: (a) Let m and n be positive numbers, with m n. Furthermore, suppose...
 9.2.42: If the lengths of two adjacent sides of a parallelogram are a and b...
 9.2.43: Two trains leave the railroad station at noon. The first train trav...
 9.2.44: In this exercise you will complete a detail mentioned in the text i...
 9.2.45: In the following figure, ABCD is a square, AB 1, and 15. Show that ...
 9.2.46: Use steps (a) through (c) to show that the area of any triangle ABC...
 9.2.47: As background for Exercises 47 and 48, refer to the figure below. T...
 9.2.48: As background for Exercises 47 and 48, refer to the figure below. T...
 9.2.49: Let r denote the radius of the inscribed circle for ^ABC and (as in...
 9.2.50: The following figure shows the inscribed and the circumscribed circ...
 9.2.51: Use the formulas for r and r from Exercises 48 and 49, respectively...
 9.2.52: In this exercise you will show that the radius r of the inscribed c...
 9.2.53: The following figure shows a quadrilateral with sides a, b, c, and ...
 9.2.54: Prove the following identity for ^ABC: Suggestion: Use the law of c...
 9.2.55: In ^ABC, suppose that a4 b4 c4 2(a2 b2 )c2 . Find (There are two an...
 9.2.56: In this section we have seen that the cosines of the angles in a tr...
 9.2.57: In the two easy steps that follow, we derive the law of sines by us...
 9.2.58: In this exercise you are going to use the law of cosines and the la...
 9.2.59: This exercise is adapted from a problem proposed by Professor Norma...
 9.2.60: Herons formula: Approximately 2000 years ago, Heron of Alexandria d...
 9.2.61: In this exercise you will derive a formula for the length of an ang...
 9.2.62: In triangle XYZ (in the accompanying figure), bisects angle ZXY and...
 9.2.63: Show that area ^ABC a2 sin 2B b2 sin 2A4
 9.2.64: For any triangle ABC, show that sin1A B2 sin1A B2 a2 b2 c2
Solutions for Chapter 9.2: THE LAW OF SINES AND THE LAW OF COSINES
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition
ISBN: 9780534402303
Solutions for Chapter 9.2: THE LAW OF SINES AND THE LAW OF COSINES
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. Chapter 9.2: THE LAW OF SINES AND THE LAW OF COSINES includes 64 full stepbystep solutions. Since 64 problems in chapter 9.2: THE LAW OF SINES AND THE LAW OF COSINES have been answered, more than 24971 students have viewed full stepbystep solutions from this chapter.

Compounded annually
See Compounded k times per year.

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

Exponential decay function
Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Halflife
The amount of time required for half of a radioactive substance to decay.

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

Imaginary axis
See Complex plane.

Inverse sine function
The function y = sin1 x

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

nth root of a complex number z
A complex number v such that vn = z

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

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

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Quartic regression
A procedure for fitting a quartic function to a set of data.

Random behavior
Behavior that is determined only by the laws of probability.

Spiral of Archimedes
The graph of the polar curve.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j