- 6-9.1: Write the general equation of a quadratic function.
- 6-9.2: Name the transformations applied to function f to get g, when g(x) ...
- 6-9.3: In Figure 6-9a, name the transformations applied to function f to g...
- 6-9.4: On a copy of Figure 6-9b, sketch the graph of y = f 1 (x). Figure 6-9b
- 6-9.5: If f(x) = f(x) for all x in the domain, then f is a(n) function.
- 6-9.6: Write an equation for g(x) in terms of f(x) that has all of these f...
- 6-9.7: Satellite 1, Part 1: A satellite is in orbit around Earth. From whe...
- 6-9.8: Sketch an angle of 213 in standard position. Mark its reference ang...
- 6-9.9: The terminal side of angle contains the point (12, 5) in the uv-coo...
- 6-9.10: Write the exact value (no decimals) of sin 240. 1
- 6-9.11: Draw 180 in standard position. Explain why cos 180 =
- 6-9.12: Sketch the graph of the parent sinusoidal function y = sin . 1
- 6-9.13: What special name is given to the kind of periodic function you gra...
- 6-9.14: How many radians are there in 360? 180? 90? 45? 1
- 6-9.15: How many degrees are there in 2 radians? 1
- 6-9.16: Sketch a graph showing a unit circle centered at the origin of a uv...
- 6-9.17: Sketch the graph of the parent sinusoidal function y = cos x. 1
- 6-9.18: For y = 3 + 4 cos 5(x + 6), find: a. The horizontal dilation b. The...
- 6-9.19: For sinusoids, list the special names given to: a. The horizontal d...
- 6-9.20: Write a particular equation for the sinusoid in Figure 6-9c. Figure...
- 6-9.21: If the graph in were plotted on a wide-enough domain, predict y for...
- 6-9.22: For the sinusoid in 20, find algebraically the first three positive...
- 6-9.23: Show graphically that your three answers in are correct. 2
- 6-9.24: Satellite 1, Part 2: Assume that in 7, the satellites distance vari...
- 6-9.25: There are three kinds of properties that involve just one argument....
- 6-9.26: Use the properties in to prove that this equation is an identity. W...
- 6-9.27: Other properties involve functions of a composite argument. Write t...
- 6-9.28: Show numerically that cos 34 = sin 56. 2
- 6-9.29: Use the property in to prove that the equation cos (90 ) = sin is a...
- 6-9.30: Show that the function y = 3 cos + 4 sin is a sinusoid by finding a...
- 6-9.31: The function y = 12 sin cos is equivalent to the sinusoid y = 6 sin...
- 6-9.32: Write the double argument property expressing cos 2x in terms of si...
- 6-9.33: Find a particular equation for the function in Figure 6-9d. 3
- 6-9.34: Find a particular equation for the function in Figure 6-9e. 3
- 6-9.35: Transform the function y = 2 cos 20 cos to a sum of two cosine func...
- 6-9.36: Find the periods of the two sinusoids in the equation given in and ...
- 6-9.37: Find the (one) value of the inverse trigonometric function = tan1
- 6-9.38: Find the general solution for the inverse trigonometric relation x ...
- 6-9.39: Use parametric functions to create the graph of y = arccos x, as sh...
- 6-9.40: Find the first four positive values of , if = arctan
- 6-9.41: State the law of cosines. 4
- 6-9.42: State the law of sines. 4
- 6-9.43: State the area formula for a triangle given two sides and the inclu...
- 6-9.44: If a triangle has sides 6 ft, 7 ft, and 12 ft, find the measure of ...
- 6-9.45: Find the area of the triangle in using Heros formula. 4
- 6-9.46: Vector = 3 + 4 . Vector = 5 + 12 . a. Find the resultant vector + i...
- 6-9.47: Satellite 1, Part 3: In you assumed that the distance between you a...
- 6-9.48: equation from on the same screen, thus showing that the functions h...
- 6-9.49: What do you consider to be the one most important thing you have le...
Solutions for Chapter 6-9: Cumulative Review, Chapters 16
Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition
A theorem that gives an expansion formula for (a + b)n
See Compounded k times per year.
a b = aa 1 b b, b Z 0
Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined
The function ƒ(x) = x.
Notation used to specify intervals, pp. 4, 5.
Inverse sine function
The function y = sin-1 x
Zeros of a function that are irrational numbers.
Law of sines
sin A a = sin B b = sin C c
A procedure for fitting a logistic curve to a set of data
One-to-one rule of exponents
x = y if and only if bx = by.
A procedure for fitting a curve y = a . x b to a set of data.
A degree 4 polynomial function.
Quotient of functions
a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0
Behavior that is determined only by the laws of probability.
The distance from the center to a vertex of an ellipse.
A measure of how a data set is spread
Sum of an infinite geometric series
Sn = a 1 - r , |r| 6 1
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
See n factorial.