 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: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find th...
 1.3.8E: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find th...
 1.3.9E: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find th...
 1.3.10E: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find th...
 1.3.11E: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find th...
 1.3.12E: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find th...
 1.3.13E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.14E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.15E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.16E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.17E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.18E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.19E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.20E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.21E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.22E: Graph the functions in Exercises 13–22. What is the period of each ...
 1.3.23E: Graph the functions in Exercises 23–26 in the tsplane (taxis hori...
 1.3.24E: Graph the functions in Exercises 23–26 in the tsplane (taxis hori...
 1.3.25E: Graph the functions in Exercises 23–26 in the tsplane (taxis hori...
 1.3.26E: Graph the functions in Exercises 23–26 in the tsplane (taxis hori...
 1.3.27E: a. Graph y = cos x and y = sec x together for Comment on the behavi...
 1.3.28E: Graph y = tan x and y = cot x together for . Comment on the behavio...
 1.3.29E: Graph y = sin x and together. What are the domain and range of
 1.3.30E: Graph y = sin x and together. What are the domain and range of ?
 1.3.31E: Use the addition formulas to derive the identities in Exercises 31–36.
 1.3.32E: Use the addition formulas to derive the identities in Exercises 31–36.
 1.3.33E: Use the addition formulas to derive the identities in Exercises 31–36.
 1.3.34E: Use the addition formulas to derive the identities in Exercises 31–36.
 1.3.35E: cos (A – B) = cos A cos B + sin A sin B (Exercise 57 provides a dif...
 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: In Exercises 39–42, express the given quantity in terms of sin x an...
 1.3.40E: In Exercises 39–42, express the given quantity in terms of sin x an...
 1.3.41E: In Exercises 39–42, express the given quantity in terms of sin x an...
 1.3.42E: In Exercises 39–42, express the given quantity in terms of sin x an...
 1.3.43E: Evaluate
 1.3.44E: Evaluate
 1.3.45E: Evaluate
 1.3.46E: Evaluate
 1.3.47E: Find the function values in Exercises 47–50.
 1.3.48E: Find the function values in Exercises 47–50.
 1.3.49E: Find the function values in Exercises 47–50.
 1.3.50E: Find the function values in Exercises 47–50.
 1.3.51E: For Exercises 51–54, solve for the angle ?, where
 1.3.52E: For Exercises 51–54, solve for the angle ?, where sin2 ? = cos2 ?
 1.3.53E: For Exercises 51–54, solve for the angle ?, where sin 2?  cos ? = 0
 1.3.54E: For Exercises 51–54, solve for the angle ?, where cos 2? + cos ? = 0
 1.3.55E: The tangent sum formula The standard formula for the tangent of the...
 1.3.56E: The tangent sum formula The standard formula for the tangent of the...
 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 Exerc...
 1.3.63E: A triangle has side c = 2 and angles A = ?/4 and B = ?/3. Find the ...
 1.3.64E: The approximation sin x x It is often useful to know that, when x i...
 1.3.65E: For identify A, B, C, and D for the sine functions in Exercises 65–...
 1.3.66E: For identify A, B, C, and D for the sine functions in Exercises 65–...
 1.3.67E: For identify A, B, C, and D for the sine functions in Exercises 65–...
 1.3.68E: For identify A, B, C, and D for the sine functions in Exercises 65–...
 1.3.69E: In Exercises 69–72, you will explore graphically the general sine f...
 1.3.70E: In Exercises 69–72, you will explore graphically the general sine f...
 1.3.71E: In Exercises 69–72, you will explore graphically the general sine f...
 1.3.72E: In Exercises 69–72, you will explore graphically the general sine f...
Solutions for Chapter 1.3: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 1.3
Get Full SolutionsChapter 1.3 includes 72 full stepbystep solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. This expansive textbook survival guide covers the following chapters and their solutions. Since 72 problems in chapter 1.3 have been answered, more than 55129 students have viewed full stepbystep solutions from this chapter.

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Complex fraction
See Compound fraction.

Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Directed angle
See Polar coordinates.

Future value of an annuity
The net amount of money returned from an annuity.

Initial value of a function
ƒ 0.

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

Measure of an angle
The number of degrees or radians in an angle

Measure of center
A measure of the typical, middle, or average value for a data set

Minute
Angle measure equal to 1/60 of a degree.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Position vector of the point (a, b)
The vector <a,b>.

Principle of mathematical induction
A principle related to mathematical induction.

Reference angle
See Reference triangle

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Statute mile
5280 feet.

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.