- 1.4.1E: ?Define the six trigonometric functions in terms of the sides of a ...
- 1.4.2E: ?Explain how a point on a circle of radius determines an angle and ...
- 1.4.3E: ?Explain how the radian measure of an angle is determined?
- 1.4.4E: ?Explain what is meant by the period of a trigonometric function.wh...
- 1.4.5E: 5E
- 1.4.6E: ?How are the sine and cosine functions used to define the other fou...
- 1.4.9E: ?Explain why the domain of the sine function must be restricted in ...
- 1.4.21E: ?Evaluating trigonometric functions:Evaluate the following expressi...
- 1.4.22E: ?Evaluating trigonometric functions:Evaluate the following expressi...
- 1.4.23E: ?Trigonometric identities: Prove that
- 1.4.24E: ?Trigonometric identities:prove that .
- 1.4.25E: ?Trigonometric identities:Prove that
- 1.4.27E: ?Trigonometric identities:find the exact value of .
- 1.4.28E: ?Trigonometric identities: find the exact value of .
- 1.4.29E: ?Solving trigonometric equations: Solve the equation .
- 1.4.30E: ?Solving trigonometric equations: Solve the equation
- 1.4.31E: ?Solving trigonometric equations: Solve the equation .
- 1.4.32E: ?Solving trigonometric equations :Solve the equation
- 1.4.33E: ?Solving trigonometric equations: Solve the equation ..
- 1.4.34E: ?Solving trigonometric equations: Solve the equation .
Solutions for Chapter 1.4: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals | 1st Edition
artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once
See Compounded k times per year.
Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S
An identity involving a trigonometric function of u - v
A nonnegative number that specifies how off-center the focus of a conic is
A set with no elements
Matrices that have the same order and equal corresponding elements.
Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large
Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.
The measure of acidity
Product of functions
(ƒg)(x) = ƒ(x)g(x)
Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.
Real number line
A horizontal line that represents the set of real numbers.
Reflection across the y-axis
x, y and (-x,y) are reflections of each other across the y-axis.
A statistical measure that does not change much in response to outliers.
Vertex of a cone
See Right circular cone.
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.
The scale of the tick marks on the x-axis in a viewing window.