|
1 |
6.1 |
Angles |
angle, coterminal angles, standard position, positive angle, negative
angle, quadrantal angle, coterminal angles, degrees, complementary angles, supplementary
angles, central angle, radians |
|
2 |
6.1 |
Angles |
calculators, angle conversions, formula for the length of a circular
arc, formula for the area of a circular sector |
|
3 |
6.1 |
Angles |
angular speed, linear speed |
|
4 |
6.2 |
Trigonometric Functions of Angles |
trigonometric functions of right angles, sine, cosine, tangent,
cosecant, secant, cotangent, reciprocal functions, special triangles, |
|
5 |
6.2 |
Trigonometric Functions of Angles |
finding trigonometric function values with a calculator |
|
6 |
6.2 |
Trigonometric Functions of Angles |
The Fundamental Identities, Reciprocal Identities, Tangent and
Cotangent Identities, Pythagorean Identities, verifying identities |
|
7 |
6.2 |
Trigonometric Functions of Angles |
verifying identities |
|
8 |
6.2 |
Trigonometric Functions of Angles |
properties of logarithms, trigonometric functions of any angle,
trigonometric functions signs, the CAST rule, |
|
9 |
6.2 |
Trigonometric Functions of Angles |
finding values of trigonometric functions from prescribed conditions,
using fundamental identities |
|
11 |
6.3 |
Trigonometric Functions of Real Numbers |
the unit circle, P(cos t, sin t) finding special values of the
trigonometric functions, finding the coordinates of a point on the unit circle |
|
12 |
6.3 |
Trigonometric Functions of Real Numbers |
P(cos t, sin t), periodic function, period of sine and cosine,
Negative Angle Identities, even/odd functions, graphs of the sine, cosine, and tangent
functions |
|
13 |
6.4 |
Values of the Trigonometric Functions |
reference angle, approximating function values with a calculator |
|
14 |
6.4 |
Values of the Trigonometric Functions |
finding acute angle solutions of equations with a calculator,
approximating angle with a calculator |
|
15 |
6.4 |
Values of the Trigonometric Functions |
finding acute angle solutions of equations with a calculator,
approximating angle with a calculator |
|
16 |
6.5 |
Trigonometric Graphs |
period of y = a sin bx or y = a cos bx, amplitude,
period |
|
17 |
6.5 |
Trigonometric Graphs |
phase shift, theorems on amplitudes, periods, and phase shifts of the
graphs of
y = a sin (bx + c), and y = a cos (bx + c),finding an equation for a
sine wave |
|
18 |
6.6 |
Additional Trigonometric Graphs |
vertical asymptotes, theorems on the graphs of
y = a tan (bx + c), y = a cot (bx + c), y = a csc (bx + c), and y
= a sec (bx + c), the graph of a trigonometric function involving absolute value |
|
20 |
6.7 |
Applied Problems |
parts of a right triangle, solving a right triangle, significant
digits, approximating sides, approximating angles |
|
21 |
6.7 |
Applied Problems |
angle of elevation, angle of depression, bearings, air navigation |
|
22 |
7.1 |
Verifying Trigonometric Identities |
trigonometric expression, The Fundamental Identities, verifying
trigonometric identities |
|
23 |
7.1 |
Verifying Trigonometric Identities |
verifying trigonometric identities, showing that an equation is not an
identity, trigonometric substitutions |
|
24 |
7.2 |
Trigonometric Equations |
solving trigonometric equations |
|
25 |
7.2 |
Trigonometric Equations |
solving trigonometric equations |
|
26 |
7.3 |
The Addition and Subtraction Formulas |
cofunctions, cofunction formulas, addition and subtraction formulas for
sine, cosine, and tangent |
|
27 |
7.3 |
The Addition and Subtraction Formulas |
reduction formulas |
|
29 |
7.4 |
Multiple-Angle Formulas |
double angle formulas for sine, cosine, and tangent, half-angle
identities, half angle formulas, half-angle formulas for tangent (alternate forms) |
|
30 |
7.4 |
Multiple-Angle Formulas |
using half-angle identities, using half-angle formulas |
|
31 |
7.6 |
The Inverse Trigonometric Functions |
one-to-one functions, arcsin, arccos, arctan |
|
32 |
7.6 |
The Inverse Trigonometric Functions |
arccot, arcsec, arccsc |
|
33 |
8.1 |
The Law of Sines |
The Law of Sines, ambiguous case |
|
34 |
8.2 |
The Law of Cosines |
The Law of Cosines, Area of a Triangle, Heron's Formula |
