 1.3.1E: On a circle of radius 10 m, how long is an arc that subtends a cent...
 1.3.2E: A central angle in a circle of radius 8 is subtended by an arc of l...
 1.3.3E: You want to make an 80° angle by marking an arc on the perimeter of...
 1.3.4E: If you roll a 1mdiameter wheel forward 30 cm over level ground, t...
 1.3.5E: Copy and complete the following table of function values. If the fu...
 1.3.6E: Copy and complete the following table of function values. If the fu...
 1.3.7E: One of sin x, cos x, and tan x is given. Find the other two if x li...
 1.3.8E: One of sin x, cos x, and tan x is given. Find the other two if x li...
 1.3.9E: One of sin x, cos x, and tan x is given. Find the other two if x li...
 1.3.10E: One of sin x, cos x, and tan x is given. Find the other two if x li...
 1.3.11E: One of sin x, cos x, and tan x is given. Find the other two if x li...
 1.3.12E: One of sin x, cos x, and tan x is given. Find the other two if x li...
 1.3.13E: Graph the functions. What is the period of each function?sin 2x
 1.3.14E: Graph the functions. What is the period of each function?sin (x/2 )
 1.3.15E: Graph the functions. What is the period of each function?cos ?x
 1.3.16E: Graph the functions. What is the period of each function?
 1.3.17E: Graph the functions. What is the period of each function?
 1.3.18E: Graph the functions. What is the period of each function?cos 2?x
 1.3.19E: Graph the functions. What is the period of each function?
 1.3.20E: Graph the functions. What is the period of each function?
 1.3.21E: Graph the functions. What is the period of each function?
 1.3.22E: Graph the functions. What is the period of each function?
 1.3.23E: Graph the functions in the tsplane (taxis horizontal,saxis verti...
 1.3.24E: Graph the functions in the tsplane (taxis horizontal,saxis verti...
 1.3.25E: Graph the functions in the tsplane (taxis horizontal,saxis verti...
 1.3.26E: Graph the functions in the tsplane (taxis horizontal,saxis verti...
 1.3.27E: a. Graph y = cos x and y = sec x together for –3?/2 ? x ?3?/2. Comm...
 1.3.28E: Graph y = tan x and y = cot x together for –7 ? x ? 7. Comment on t...
 1.3.29E:
 1.3.30E: Graph ?
 1.3.31E: Use the addition formulas to derive the identities.
 1.3.32E: Use the addition formulas to derive the identities.
 1.3.33E: Use the addition formulas to derive the identities.
 1.3.34E: Use the addition formulas to derive the identities.
 1.3.35E: Addition Formulas: cos (A + B) = cos A cos B  sin A sin B sin (A +...
 1.3.36E: sin(A – B) = sin A cos B  cos A sin B
 1.3.37E: What happens if you take B = A in the trigonometric identity cos (A...
 1.3.38E: What happens if you take B = 2? in the addition formulas? Do the re...
 1.3.39E: Express the given quantity in terms of sin x and cos x.cos (? + x)
 1.3.40E: Express the given quantity in terms of sin x and cos x.sin (2? – x)
 1.3.41E: Express the given quantity in terms of sin x and cos x.
 1.3.42E: Express the given quantity in terms of sin x and cos x.
 1.3.43E: Express the given quantity in terms of sin x and cos x.Evaluate
 1.3.44E: Express the given quantity in terms of sin x and cos x.Evaluate
 1.3.45E: Express the given quantity in terms of sin x and cos x.Evaluate
 1.3.46E: Express the given quantity in terms of sin x and cos x.Evaluate
 1.3.47E: Find the function values.
 1.3.48E : Find the function values.
 1.3.49E: Find the function values.
 1.3.50E: Find the function values.
 1.3.51E: Solve for the angle ? where, 0 ? ? ? 2?
 1.3.52E: Solve for the angle ? where, 0 ? ? ? 2?sin2 ? = cos2 ?
 1.3.53E: Solve for the angle ? where, 0 ? ? ? 2?sin2 ? – cos ? = 0
 1.3.54E: Solve for the angle ? where, 0 ? ? ? 2?cos2 ? + cos ? = 0
 1.3.55E: The tangent sum formula The standard formula for the tangent of the...
 1.3.56E: (Contination of exercise 55)Derive a formula for tan (A – B)Referen...
 1.3.57E: Apply the law of cosines to the triangle in the accompanying figure...
 1.3.58E: a. Apply the formula for cos (A – B) to the identity sin ? = to obt...
 1.3.59E: A triangle has sides a = 2 and b = 3 and angle C = 60°. Find the le...
 1.3.60E: A triangle has sides a = 2 and b = 3 and angle C = 40°. Find the le...
 1.3.61E: The law of sines The law of sines says that if a, b, and c are the ...
 1.3.62E: A triangle has sides a = 2 and b = 3 and angle C = 60°. (as in Exer...
 1.3.63E: A triangle has sides c = 2 and angle A = ?/4 and B = ?/3. Find the ...
 1.3.64E: The approximation sin x ? x It is often useful to know that, when x...
 1.3.65E: For identify A, B, C, and D for the sine functions and sketch their...
 1.3.66E: For identify A, B, C, and D for the sine functions and sketch their...
 1.3.67E: For identify A, B, C, and D for the sine functions and sketch their...
 1.3.68E: For identify A, B, C, and D for the sine functions and sketch their...
 1.3.69E: You will explore graphically the general sine function as you chang...
 1.3.70E: You will explore graphically the general sine function as you chang...
 1.3.71E: You will explore graphically the general sine function as you chang...
 1.3.72E: You will explore graphically the general sine function as you chang...
Solutions for Chapter 1.3: Thomas' Calculus: Early Transcendentals 13th Edition
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Solutions for Chapter 1.3
Get Full SolutionsSince 72 problems in chapter 1.3 have been answered, more than 89019 students have viewed full stepbystep solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 1.3 includes 72 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Circle graph
A circular graphical display of categorical data

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Horizontal Line Test
A test for determining whether the inverse of a relation is a function.

Inductive step
See Mathematical induction.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Line graph
A graph of data in which consecutive data points are connected by line segments

Line of travel
The path along which an object travels

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Nappe
See Right circular cone.

Negative linear correlation
See Linear correlation.

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Slope
Ratio change in y/change in x

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

xintercept
A point that lies on both the graph and the xaxis,.

Xmax
The xvalue of the right side of the viewing window,.

Zero of a function
A value in the domain of a function that makes the function value zero.