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United States NAVY — Mathematics, Trigonometry (Navy course)
United States NAVY — Mathematics, Trigonometry (Navy course)

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Название: Mathematics, Trigonometry (Navy course)

Автор: United States NAVY

Аннотация:

The objective of this course is to enable the student to:
a. Apply logarithms to the solution of problems encountered in mathematics and the sciences.
b. Apply trigonometric techniques as tools in the analysis of mathematical, physical, and scientific
problems.


Язык: en

Рубрика: Математика/Анализ/Учебники по элементарному анализу/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 272

Добавлена в каталог: 15.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abscissa      4-2
Acute angles      5-1 5-20
Addition, vector      7-2 to 7-3 7-6 7-23 7-24
Angles in standard position      4-2 to 4-4 4-30
Angles, Acute      5-1 5-20
Angles, Complementary      4-18 to 4-20 4-33
Angles, Coterminal      4-3 to 4-4 4-16 4-30 4-33
Angles, measurements of      3-1 to 3-19 3-31
Angles, measurements of, Degrees      3-2 to 3-3 3-31
Angles, measurements of, Mils      3-14 to 3-19 3-33
Angles, measurements of, Radians      3-4 to 3-13 3-31
Angles, measurements of, Radians, Angular velocity      3-8 to 3-11 3-32
Angles, measurements of, Radians, Area of a sector      3-12 to 3-13 33
Angles, Negative      3-2 3-31 4-16 4-32 6-5 6-34
Angles, Obtuse      5-1 5-20
Angles, Positive      3-2 3-31
Angles, Quadrantal      4-3 4-23 4-33
Angles, Reference      4-11 to 4-12 4-31
Angles, special      4-21 to 4-24 4-33
Angles, special, Frequently used angles      4-21 to 4-23 4-33
Angles, special, Frequently used angles, $30^{\circ}-60^{\circ}$ angles      4-21 to 4-22 33
Angles, special, Frequently used angles, $45^{\circ}$ angles      4-22 to 4-23 4-33
Angles, special, Quadrantal angles      4-23 to 4-24 4-33
Angular velocity      3-8 to 3-11 3-32
Antilogarithm      1-16 to 1-18 1-24
Area formulas      5-17 to 5-19 5-21
Area of a sector      3-12 to 3-13 3-33
Characteristic      1-9 to 1-10 1-23
Characteristic, Negative      1-10 1-23
Characteristic, positive      1-9 to 1-10 1-23
Cofunctions      4-18 to 4-20 4-33
Common logarithms      1-8 to 1-10 1-22
Common logarithms, Negative characteristics      1-10 1-23
Common logarithms, Positive characteristics      1-9 to 1-10 1-23
Complementary angles      4-18 to 4-20 4-33
Components of vectors      7-4 to 7-6 7-23
Computations with logarithms      2-1 to 2-17
Computations with logarithms, Algebraic operations      2-9 to 2-11 2-15
Computations with logarithms, Applications      2-12 to 2-13 2-15
Computations with logarithms, Division      2-5 to 2-6 2-15
Computations with logarithms, Introduction      2-1 to 2-2
Computations with logarithms, Multiplication      2-2 to 2-4 2-15
Computations with logarithms, Powers      2-1 2-15
Computations with logarithms, Roots      2-7 to 2-8 2-15
Computations with logarithms, Summary      2-15
coordinates      4-2
Coterminal angles      4-3 to 4-4 4-30
Coterminal angles, functions of      4-16 to 4-17 4-33
DEGREES      3-2 to 3-3 3-31
Direction of a vector      7-5 7-24
Division with logarithms      1-4 to 1-5 1-22 2-5 2-15
Double-angle formulas      6-16 to 6-18 6-36
Equilibriant force      7-13 7-25
Equilibrium      7-13 to 7-21 7-25
Equilibrium, rotational      7-19 to 7-21 7-25
Equilibrium, translational      7-15 to 7-19 7-25
Exponential form      1-2
Forces      7-11 to 7-12 7-24
Fundamental identities      6-1 to 6-7 6-34
Fundamental identities, Negative angles      6-5 6-34
Fundamental identities, Pythagorean      6-3 to 6-5 6-34
Fundamental identities, Quotient      6-3 6-34
Fundamental identities, Reciprocal      6-2 6-34
Fundamental identities, Verifying trigonometric identities      6-6 to 6-7
Graph of the cosine function      4-27 to 4-28
Graph of the sine function      4-27
Graph of the tangent function      4-28
Half-angle formulas      6-18 to 6-20 6-36
Horizontal component      7-4 7-23
Identities, formulas for      6-8 to 6-20 6-35
Identities, formulas for, Double-angle formulas      6-16 to 6-18 6-36
Identities, formulas for, Half-angle formulas      6-18 to 6-20 6-36
Identities, formulas for, Sum and difference formulas      6-8 to 6-15 6-35
Identities, fundamental      6-1 to 6-7 6-34
Identities, fundamental, Negative angles      6-5 6-34
Identities, fundamental, Pythagorean      6-3 to 6-5 6-34
Identities, fundamental, Quotient      6-3 6-34
Identities, fundamental, Reciprocal      6-2 6-34
Identities, fundamental, Verifying trigonometric identities      6-6 to 6-7
Identity      6-1
Initial position      3-2 3-31
Interpolation      1-13 to 1-15 1-23
Inverse trigonometric functions      6-21 to 6-27 6-36
Inverse trigonometric functions, Notation      6-22 6-36
Inverse trigonometric functions, Principal values      6-22 to 6-27 6-36
Law of Cosines      5-11 to 5-16 5-20
Law of cosines, Case 3. Two sides and the included angle      5-13 to 5-15 5-20
Law of cosines, Case 4. All three sides      5-15 to 5-16 5-20
Law of Sines      5-2 to 5-10 5-20
Law of sines, Case 1. One side and two angles      5-4 to 5-5 5-20
Law of sines, Case 2. Two sides and an angle opposite one of them      5-5 to 5-10 5-20
Length of arc      3-7 3-32
Linear velocity      3-9 3-33
Logarithm tables      1-11 to 1-12 1-23
Logarithmic form      1-2
Logarithms      1-1 to 1-27
Logarithms, Antilogarithm      1-16 to 1-18 1-24
Logarithms, Common logarithms      1-8 to 1-10 1-22
Logarithms, Common logarithms, Negative characteristics      1-10 1-23
Logarithms, Common logarithms, Positive characteristics      1-9 to 1-10 1-23
Logarithms, computations with      2-1 to 2-17
Logarithms, computations with, Algebraic operations      2-9 to 2-11 2-15
Logarithms, computations with, Applications      2-12 to 2-13 2-15
Logarithms, computations with, Division      2-5 to 2-6 2-15
Logarithms, computations with, Multiplication      2-2 to 2-4 2-15
Logarithms, computations with, Powers      2-7 2-15
Logarithms, computations with, Roots      2-1 to 2-8 2-15
Logarithms, Interpolation      1-13 to 1-15 1-23
Logarithms, Introduction      1-1
Logarithms, Laws for calculation      1-3 to 1-7 1-22
Logarithms, Laws for calculation, Division      1-4 to 1-5 1-22
Logarithms, Laws for calculation, Multiplication      1-3 to 1-4 1-22
Logarithms, Laws for calculation, Powers      1-6 1-22
Logarithms, Laws for calculation, Roots      1-6 to 1-7 1-22
Logarithms, Logarithm tables      1-11 to 1-12 1-23
Logarithms, Natural logarithms      1-19 to 1-21 1-24
Logarithms, Review of definitions      1-1 to 1-2 1-22
Logarithms, Summary      1-22 to 1-25
Magnitude of a vector      7-5 7-24
Mantissa      1-9 1-23
Mils      3-14 to 3-19 3-33
Multiplication with logarithms      1-3 to 14 1-22 2-2 2-15
Natural logarithms      1-19 to 1-21 1-24
Negative angle      3-2 3-31
Negative angles, functions of      4-16 4-32
Negative angles, identities for      6-5 6-34
Oblique triangles      5-1 to 5-23
Oblique triangles, Area formulas      5-17 to 5-19 5-21
Oblique triangles, Introduction      5-1 to 5-2
Oblique triangles, Methods of solving oblique triangles      5-2 to 5-16 5-20
Oblique triangles, Methods of solving oblique triangles, Law of cosines      5-11 to 5-16 5-20
Oblique triangles, Methods of solving oblique triangles, Law of cosines, Case 3. Two sides and the included angle      5-13 to 5-15 5-20
Oblique triangles, Methods of solving oblique triangles, Law of cosines, Case 4. All three sides      5-15 to 5-16 5-20
Oblique triangles, Methods of solving oblique triangles, Law of sines      5-2 to 5-10 5-20
Oblique triangles, Methods of solving oblique triangles, Law of sines, Case 1. One side and two angles      5-4 to 5-5 5-20
Oblique triangles, Methods of solving oblique triangles, Law of sines, Case 2. Two sides and an angle opposite one of them      5-5 to 10 5-20
Oblique triangles, Summary      5-20 to 5-21
Obtuse angles      5-1 5-20
Ordinate      4-2
Periodic      4-27 4-33
Periods of the trigonometric functions      4-27 to 4-28 4-33
Periods of the trigonometric functions, Graph of the cosine function      4-27 to 4-28
Periods of the trigonometric functions, Graph of the sine function      4-27
Periods of the trigonometric functions, Graph of the tangent function      4-28
Positive angle      3-2 3-31
Powers, logarithms of      1-6 1-22 2-7 2-15
Principal values      6-22 to 6-27 6-36
Pythagorean identities      6-3 to 6-5 6-34
Pythagorean Theorem      3-20 to 3-21 3-34
Quadrant system      4-7 to 4-10 4-30
Quadrant, functions of angles in any      4-12 to 4-15 4-31
Quadrant, functions of angles in any, Quadrant I      4-13 4-31
Quadrant, functions of angles in any, Quadrant II      4-13 to 4-14 4-31
Quadrant, functions of angles in any, Quadrant III      4-14 to 4-15 4-32
Quadrant, functions of angles in any, Quadrant IV      4-15 4-32
Quadrantal angles      4-3 4-23 4-33
Quadrants      3-2 3-31
Quotient identities      6-3 6-34
RADIANS      3-4 to 3-13 3-31
Radians, Angular velocity      3-8 to 3-11 3-32
Radians, Area of a sector      3-12 to 3-13 3-33
Radius vector      3-2 3-31
Reciprocal identities      6-2 6-34
Rectangular coordinate system      4-1 to 4-2
Reduction formulas      4-12 4-31
Reference angle      4-11 to 4-12 4-31
Reference triangle      4-12 4-31
Resolution of a force      7-11 7-25
Resultant vector      7-2 to 7-3 7-11 7-23 7-25
Right triangles, properties of      3-20 to 3-23 3-34
Right triangles, properties of, Pythagorean theorem      3-20 to 3-21 3-34
Right triangles, properties of, Similar right triangles      3-21 to 3-23 3-34
Roots, logarithms of      1-6 to 1-7 1-22 2-7 2-15
Rotational equilibrium      7-19 to 7-21 7-25
Scalar quantity      7-1 7-23
Scientific notation      1-9 to 1-10 1-23
Significant digits      2-2 2-15
Similar right triangles      3-21 to 3-23 3-34
Similar triangles      3-21 3-34
Special angles      4-21 to 4-24 4-33
Special angles, Frequently used angles      4-21 to 4-23 4-33
Special angles, Frequently used angles, $30^{\circ}-60^{\circ}$ angles      4-21 to 4-22 4-33
Special angles, Frequently used angles, $45^{\circ}$ angles      4-22 to 4-23 4-33
Special angles, Quadrantal angles      4-23 to 4-24 4-33
Subtraction, vector      7-3 to 7-4 7-23
Sum and difference formulas      6-8 to 6-15 6-35
Terminal position      3-2 3-31
torque      7-19 to 7-21 7-25
Translational equilibrium      7-15 to 7-19 7-25
Trigonometric analysis      4-1 to 4-35
Trigonometric analysis, Angles in standard position      4-2 to 4-4 4-30
Trigonometric analysis, Cofunctions and complementary angles      4-18 to 4-20 4-33
Trigonometric analysis, Definition of the trigonometric functions      4-4 to 4-6 4-30
Trigonometric analysis, Functions of angles in any quadrant      4-12 to 4-15 4-31
Trigonometric analysis, Functions of angles in any quadrant, Quadrant I      4-13 4-31
Trigonometric analysis, Functions of angles in any quadrant, Quadrant II      4-13 to 4-14 4-31
Trigonometric analysis, Functions of angles in any quadrant, Quadrant III      4-14 to 4-15 4-32
Trigonometric analysis, Functions of angles in any quadrant, Quadrant IV      4-15 4-32
Trigonometric analysis, Functions of coterminal angles      4-16 to 4-17 4-33
Trigonometric analysis, Functions of negative angles      4-16 4-32
Trigonometric analysis, Introduction      4-1
Trigonometric analysis, Periods of the trigonometric functions      4-27 to 4-28 4-33
Trigonometric analysis, Periods of the trigonometric functions, Graph of the cosine function      4-27 to 4-28
Trigonometric analysis, Periods of the trigonometric functions, Graph of the sine function      4-27
Trigonometric analysis, Periods of the trigonometric functions, Graph of the tangent function      4-28
Trigonometric analysis, Quadrant system      4-7 to 4-10 4-30
Trigonometric analysis, Rectangular coordinate system      4-1 to 4-2
Trigonometric analysis, Reference angle      4-11 to 4-12 4-31
Trigonometric analysis, Special angles      4-21 to 4-24 4-33
Trigonometric analysis, Special angles, Frequently used angles      4-21 to 4-23 4-33
Trigonometric analysis, Special angles, Frequently used angles, $30^{\circ}-60^{\circ}$ angles      4-21 to 4-22 4-33
Trigonometric analysis, Special angles, Frequently used angles, $45^{\circ}$ angles      4-22 to 4-23 4-33
Trigonometric analysis, Special angles, Quadrantal angles      4-23 to 4-24 4-33
Trigonometric analysis, Summary      4-30 to 4-33
Trigonometric equations      6-28 to 6-33 6-36
Trigonometric functions, definition of      4-4 to 4-6 4-30
Trigonometric identities and equations      6-1 to 6-39
Trigonometric identities and equations, Formulas for identities      6-8 to 6-20 6-35
Trigonometric identities and equations, Formulas for identities, Double-angle formulas      6-16 to 6-18 6-36
Trigonometric identities and equations, Formulas for identities, Half-angle formulas      6-18 to 6-20 6-36
Trigonometric identities and equations, Formulas for identities, Sum and difference formulas      6-8 to 15 6-35
Trigonometric identities and equations, Fundamental identities      6-1 to 6-7 6-34
Trigonometric identities and equations, Fundamental identities, Identities for negative angles      6-5 6-34
Trigonometric identities and equations, Fundamental identities, Pythagorean identities      6-3 to 6-5 6-34
Trigonometric identities and equations, Fundamental identities, Quotient identities      6-3 6-34
Trigonometric identities and equations, Fundamental identities, Reciprocal identities      6-2 6-34
Trigonometric identities and equations, Fundamental identities, verifying trigonometric identities      6-6 to 6-7
Trigonometric identities and equations, Introduction      6-1
Trigonometric identities and equations, Inverse trigonometric functions      6-21 to 27 6-36
Trigonometric identities and equations, Inverse trigonometric functions, Notation      6-22 6-36
Trigonometric identities and equations, Inverse trigonometric functions, Principal values      6-22 to 6-27 6-36
Trigonometric identities and equations, Summary      6-34 to 6-37
Trigonometric identities and equations, Trigonometric equations      6-28 to 6-33 36
Trigonometric measurements      3-1 to 3-36
Trigonometric measurements, Introduction      3-1
Trigonometric measurements, Measuring angles      3-1 to 3-19 3-31
Trigonometric measurements, Measuring angles, Degrees      3-2 to 3-3 3-31
Trigonometric measurements, Measuring angles, Mils      3-14 to 3-19 3-33
Trigonometric measurements, Measuring angles, Radians      3-4 to 3-13 3-31
Trigonometric measurements, Measuring angles, Radians, Angular velocity      3-8 to 3-11 3-32
Trigonometric measurements, Measuring angles, Radians, Area of a sector      3-12 to 3-13 3-33
Trigonometric measurements, Properties of right triangles      3-20 to 3-23 3-34
Trigonometric measurements, Properties of right triangles, Pythagorean theorem      3-20 to 3-21 3-34
Trigonometric measurements, Properties of right triangles, Similar right triangles      3-21 to 3-23 3-34
Trigonometric measurements, Summary      3-31 to 3-34
Trigonometric measurements, Trigonometric ratios, functions, and tables      3-24 to 3-29 3-34
Trigonometric measurements, Trigonometric ratios, functions, and tables, Tables of trigonometric functions      3-27 to 3-28 3-34
Trigonometric measurements, Trigonometric ratios, functions, and tables, Trigonometric ratios and functions      3-25 to 3-27 3-34
Trigonometric measurements, Trigonometric ratios, functions, and tables, Use of trigonometric ratios and functions      3-29
Trigonometric ratios, functions, and tables      3-24 to 3-29 3-34
Trigonometric ratios, functions, and tables, Tables of trigonometric functions      3-27 to 28 3-34
Trigonometric ratios, functions, and tables, Trigonometric ratios and functions      3-25 to 3-27 3-34
Trigonometric ratios, functions, and tables, Use of trigonometric ratios and functions      3-29
Vector quantity      7-1 7-23
Vectors      7-1 to 7-9 7-23
Vectors, Components of vectors      7-4 to 7-6 7-23
Vectors, Vector addition      7-2 to 7-3 7-23
Vectors, Vector addition by components      7-6 to 7-9 7-24
Vectors, Vector subtraction      7-3 to 7-4 7-23
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