 8.2.1: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.2: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.3: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.4: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.5: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.6: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.7: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.8: For each of the triangles in Exercises 18, the angle sum identity, ...
 8.2.9: In Exercises 942, solve each triangle.
 8.2.10: In Exercises 942, solve each triangle.
 8.2.11: In Exercises 942, solve each triangle.
 8.2.12: In Exercises 942, solve each triangle.
 8.2.13: In Exercises 942, solve each triangle.
 8.2.14: In Exercises 942, solve each triangle.
 8.2.15: In Exercises 942, solve each triangle.
 8.2.16: In Exercises 942, solve each triangle.
 8.2.17: In Exercises 942, solve each triangle.
 8.2.18: In Exercises 942, solve each triangle.
 8.2.19: In Exercises 942, solve each triangle.
 8.2.20: In Exercises 942, solve each triangle.
 8.2.21: In Exercises 942, solve each triangle.
 8.2.22: In Exercises 942, solve each triangle.
 8.2.23: In Exercises 942, solve each triangle.
 8.2.24: In Exercises 942, solve each triangle.
 8.2.25: In Exercises 942, solve each triangle.
 8.2.26: In Exercises 942, solve each triangle.
 8.2.27: In Exercises 942, solve each triangle.
 8.2.28: In Exercises 942, solve each triangle.
 8.2.29: In Exercises 942, solve each triangle.
 8.2.30: In Exercises 942, solve each triangle.
 8.2.31: In Exercises 942, solve each triangle.
 8.2.32: In Exercises 942, solve each triangle.
 8.2.33: In Exercises 942, solve each triangle.
 8.2.34: In Exercises 942, solve each triangle.
 8.2.35: In Exercises 942, solve each triangle.
 8.2.36: In Exercises 942, solve each triangle.
 8.2.37: In Exercises 942, solve each triangle.
 8.2.38: In Exercises 942, solve each triangle.
 8.2.39: In Exercises 942, solve each triangle.
 8.2.40: In Exercises 942, solve each triangle.
 8.2.41: In Exercises 942, solve each triangle.
 8.2.42: In Exercises 942, solve each triangle.
 8.2.43: A plane flew due north at 500 mph for 3 hours. A second plane, star...
 8.2.44: A plane flew due north at 400 mph for 4 hours. A second plane, star...
 8.2.45: A plane flew 30 NW at 350 mph for 2.5 hours. A second plane, starti...
 8.2.46: A plane flew 30 NW at 350 mph for 3 hours. A second plane starts at...
 8.2.47: A baseball diamond is actually a square that is 90 feet on each sid...
 8.2.48: Given the acute angle (14.4 ) and two sides (18 feet and 25 feet) o...
 8.2.49: A 40foot slide leaning against the bottom of a buildings window ma...
 8.2.50: An airplane door is 6 feet high. If a slide attached to the bottom ...
 8.2.51: Find the length of the upper arm from the muscle attachment to the ...
 8.2.52: Find the measure of angle B
 8.2.53: Two lead firefighters (Beth and Tim) are 300 yards apart and they e...
 8.2.54: Two cell phone towers are 100 meters apart. When the cell phone swi...
 8.2.55: Two cell phone towers are 100 meters apart. When the cell phone swi...
 8.2.56: In reference to Exercise 55, what angle does the zipline make with ...
 8.2.57: (See Exercise 44 in Section 8.1 for the context.) In order to const...
 8.2.58: Consider the following diagram: From the diagram, we know that the ...
 8.2.59: A glaciologist needs to determine the length across a certain crevi...
 8.2.60: A glaciologist needs to determine the length across a certain crevi...
 8.2.61: A glaciologist needs to determine the length across a certain crevi...
 8.2.62: A table in the shape of a regular octagon is to be constructed to f...
 8.2.63: In Exercises 63 and 64, explain the mistake that is made.
 8.2.64: In Exercises 63 and 64, explain the mistake that is made.
 8.2.65: Given three sides of a triangle, there is insufficient information ...
 8.2.66: Given three angles of a triangle, there is insufficient information...
 8.2.67: The Pythagorean theorem is a special case of the Law of Cosines.
 8.2.68: The Law of Cosines is a special case of the Pythagorean theorem.
 8.2.69: If an obtuse triangle is isosceles, then knowing the obtuse angle a...
 8.2.70: All acute triangles can be solved using the Law of Cosines.
 8.2.71: Show that . Hint: Apply the Law of Cosines.
 8.2.72: Show that Hint: Apply the Law of Cosines.
 8.2.73: Consider the following diagram. Find
 8.2.74: Using the diagram in Exercise 73, Find tana X 2 b.
 8.2.75: For Exercises 7580, let A, B, and C be the lengths of the three sid...
 8.2.76: For Exercises 7580, let A, B, and C be the lengths of the three sid...
 8.2.77: For Exercises 7580, let A, B, and C be the lengths of the three sid...
 8.2.78: For Exercises 7580, let A, B, and C be the lengths of the three sid...
 8.2.79: For Exercises 7580, let A, B, and C be the lengths of the three sid...
 8.2.80: For Exercises 7580, let A, B, and C be the lengths of the three sid...
Solutions for Chapter 8.2: The Law of Cosines
Full solutions for Algebra and Trigonometry,  3rd Edition
ISBN: 9780840068132
Solutions for Chapter 8.2: The Law of Cosines
Get Full SolutionsThis textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. Chapter 8.2: The Law of Cosines includes 80 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. Since 80 problems in chapter 8.2: The Law of Cosines have been answered, more than 45913 students have viewed full stepbystep solutions from this chapter.

Compound interest
Interest that becomes part of the investment

Direct variation
See Power function.

Elements of a matrix
See Matrix element.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

Identity function
The function ƒ(x) = x.

Inequality symbol or
<,>,<,>.

Leading coefficient
See Polynomial function in x

Limit to growth
See Logistic growth function.

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

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Order of magnitude (of n)
log n.

Permutation
An arrangement of elements of a set, in which order is important.

Reciprocal function
The function ƒ(x) = 1x

Right angle
A 90° angle.

RRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the righthand end point of each subinterval.

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

Spiral of Archimedes
The graph of the polar curve.

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Vertices of a hyperbola
The points where a hyperbola intersects the line containing its foci.