- 4-1.1: If you enter cos2 0.7 and sin2 0.7 into your calculator, you get th...
- 4-1.2: Enter y1 = (cos(x))2 and y2 = (sin(x))2 into your grapher. (This is...
- 4-1.3: Plot the three functions on the same screen. Do the y1 and y2 graph...
- 4-1.4: Remake the table of with your grapher in degree mode. Does your con...
- 4-1.5: Figure 4-1b shows a unit circle in a uv-coordinate system and an an...
- 4-1.6: Show numerically that cos2 50 + sin2 50 = Explain graphically why t...
Solutions for Chapter 4-1: Introduction to the Pythagorean Property
Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition
Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .
The terms of the Fibonacci sequence.
Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.
General form (of a line)
Ax + By + C = 0, where A and B are not both zero.
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.
Inequality symbol or
Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).
The difference between the third quartile and the first quartile.
The notation dy/dx for the derivative of ƒ.
Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i
The eight regions of space determined by the coordinate planes.
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.
Real part of a complex number
See Complex number.
Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.
Set of all possible outcomes of an experiment.
Symmetric about the y-axis
A graph in which (-x, y) is on the graph whenever (x, y) is; or a graph in which (-r, -?) or (r, ?, -?) is on the graph whenever (r, ?) is
A letter that represents an unspecified number.