- 2-1.1: The graph in Figure 2-1c is the sine function (pronounced like sign...
- 2-1.2: The graphs in Figures 2-1b and 2-1c are called sinusoids (pronounce...
- 2-1.3: Enter in your grapher an appropriate equation for the sinusoid in F...
- 2-1.4: Explain how an angle can have measure of more than 180. Explain the...
Solutions for Chapter 2-1: Introduction to Periodic Functions
Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition
A triangle in which all angles measure less than 90°
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots
See Inverse secant function.
A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.
A matrix whose elements are the coefficients in a system of linear equations
Constant of variation
See Power function.
equation of a hyperbola
(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1
A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.
Inverse cosine function
The function y = cos-1 x
Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c
Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.
A function in which each element of the range corresponds to exactly one element in the domain
Two lines that are both vertical or have equal slopes.
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.
The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.
See Division algorithm for polynomials.
A number that measures a quantitative variable for a sample from a population.
Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.
Vertex form for a quadratic function
ƒ(x) = a(x - h)2 + k