Канал: Professor Cornell

5.1.3 Applying the Law of Sines: Angle of Elevation

5.1.3 Applying the Law of Sines: Angle of Elevation

5.3.1 Three Formulas for the Area of a Triangle

5.3.1 Three Formulas for the Area of a Triangle

5.1.1 Oblique Triangles and the Law of Sines

5.1.1 Oblique Triangles and the Law of Sines

5.2.1 The Law of Cosines and the SSS Case

5.2.1 The Law of Cosines and the SSS Case

5.2.3 Modeling with the Law of Cosines

5.2.3 Modeling with the Law of Cosines

5.2.2 Length of a Chord

5.2.2 Length of a Chord

5.1.4 Law of Sines Application: Bearing

5.1.4 Law of Sines Application: Bearing

5.1.2 The Ambiguous Case (SSA)

5.1.2 The Ambiguous Case (SSA)

4.4.4 More Practice Solving Trigonometric Equations

4.4.4 More Practice Solving Trigonometric Equations

4.4.2 Solving Trigonometric Equations by Factoring

4.4.2 Solving Trigonometric Equations by Factoring

4.4.3 Using the Quadratic Formula in Trigonometric Equations

4.4.3 Using the Quadratic Formula in Trigonometric Equations

4.4.1 Using the Square Root Property to Solve Trigonometric Equations

4.4.1 Using the Square Root Property to Solve Trigonometric Equations

4.3.4 Application Projectile Motion

4.3.4 Application Projectile Motion

4.3.2 Solving Trigonometric Equations with Compositions over a Given Interval

4.3.2 Solving Trigonometric Equations with Compositions over a Given Interval

4.3.3 Using Identities to Solve Trigonometric Equations

4.3.3 Using Identities to Solve Trigonometric Equations

4.3.1 Multiple Angle Equations

4.3.1 Multiple Angle Equations

4.2.3 Solving Trigonometric Equations within an Interval

4.2.3 Solving Trigonometric Equations within an Interval

4.2.1 Basic Sine and Cosine Equations

4.2.1 Basic Sine and Cosine Equations

4.2.2 Basic Tangent Equations

4.2.2 Basic Tangent Equations

4.1.2 Inverses of Secant, Cosecant, and Cotangent

4.1.2 Inverses of Secant, Cosecant, and Cotangent

4.1.1 The Inverse Sine, Cosine, and Tangent Functions

4.1.1 The Inverse Sine, Cosine, and Tangent Functions

4.1.3 Compositions of Trigonometric Functions

4.1.3 Compositions of Trigonometric Functions

3.6.2 The Reduction Formula

3.6.2 The Reduction Formula

3.5.3 Applying the Double Angle and Half Angle Identities

3.5.3 Applying the Double Angle and Half Angle Identities

3.6.1 Product and Sum Identities

3.6.1 Product and Sum Identities

3.5.2 Half Angle Identities

3.5.2 Half Angle Identities

3.5.1 Double Angle Identities

3.5.1 Double Angle Identities

3.6.3 Application Spring Motion

3.6.3 Application Spring Motion

3.4.2 Tangent of a Sum or a Difference

3.4.2 Tangent of a Sum or a Difference

3.4.1 Sine of a Sum or Difference

3.4.1 Sine of a Sum or Difference

3.3.3 Cofunction Identities

3.3.3 Cofunction Identities

3.3.2 Cosine of Difference

3.3.2 Cosine of Difference

3.3.1 Cosine of a Sum

3.3.1 Cosine of a Sum

3.2.3 More Practice Verifying Identities

3.2.3 More Practice Verifying Identities

3.2.2 Verifying Identities

3.2.2 Verifying Identities

3.2.1 Two Column Format for Verifying Identities

3.2.1 Two Column Format for Verifying Identities

3.1.3 Applying Identities

3.1.3 Applying Identities

3.1.2 Algebra with Trigonometric Expressions

3.1.2 Algebra with Trigonometric Expressions

3.1.4 Even and Odd Identities

3.1.4 Even and Odd Identities

3.1.1 Reciprocal and Pythagorean Identities

3.1.1 Reciprocal and Pythagorean Identities

2.4.1 Graphing Tangent

2.4.1 Graphing Tangent

2.4.2 Graphing Cotangent

2.4.2 Graphing Cotangent

2.4.3 Gallery of Trigonometric Functions

2.4.3 Gallery of Trigonometric Functions

1.3.3 Linear Velocity

1.3.3 Linear Velocity

1.3.1 Using Conversion Factors

1.3.1 Using Conversion Factors

2.3.2 Graphing Cosecant

2.3.2 Graphing Cosecant

2.3.1 Graphing Secant

2.3.1 Graphing Secant

2.2.2 The General Sine Wave

2.2.2 The General Sine Wave

2.2.3 Frequency and Applications

2.2.3 Frequency and Applications

2.2.1 Changing the Period of a Sinusoid

2.2.1 Changing the Period of a Sinusoid

2.1.4 The Phase Shift of a Sinusoid

2.1.4 The Phase Shift of a Sinusoid

2.1.2 Graphing Sine and Cosine

2.1.2 Graphing Sine and Cosine

2.1.1 The Unit Circle

2.1.1 The Unit Circle

2.1.3 Changing the Amplitude of a Sinusoid

2.1.3 Changing the Amplitude of a Sinusoid

1.6.2 Reference Angles

1.6.2 Reference Angles

1.6.1 The Fundamental Identity

1.6.1 The Fundamental Identity

1.5.3 Solving Right Triangles

1.5.3 Solving Right Triangles

1.5.4 Application: Angles of Elevation and Depression

1.5.4 Application: Angles of Elevation and Depression

1.5.1 Inverse Trigonometric Functions

1.5.1 Inverse Trigonometric Functions

1.5.2 SOH-CAH-TOA

1.5.2 SOH-CAH-TOA

1.4.6 Approximating Trigonometric Functions with a Calculator

1.4.6 Approximating Trigonometric Functions with a Calculator

1.4.5 Patterns in Sine and Cosine

1.4.5 Patterns in Sine and Cosine

1.4.4 Using 30-60-90 Triangles to Evaluate Trigonometric Functions

1.4.4 Using 30-60-90 Triangles to Evaluate Trigonometric Functions

1.4.3 Using 45-45-90 Triangles to Evaluate Trigonometric Functions

1.4.3 Using 45-45-90 Triangles to Evaluate Trigonometric Functions

1.4.1 Ratio Definition of Trigonometric Functions

1.4.1 Ratio Definition of Trigonometric Functions

1.4.2 Trigonometric Functions of the Quadrantal Angles

1.4.2 Trigonometric Functions of the Quadrantal Angles

1.3.2 Angular Velocity

1.3.2 Angular Velocity

1.3.4 Linear Velocity in Terms of Angular Velocity

1.3.4 Linear Velocity in Terms of Angular Velocity

1.2.1A Degree Radian Conversion

1.2.1A Degree Radian Conversion

1.2.1 Radian Measure of Angles

1.2.1 Radian Measure of Angles

1.2.1B Coterminal Angles in Radian Measure

1.2.1B Coterminal Angles in Radian Measure

1.2.2 Arc Length of a Circle

1.2.2 Arc Length of a Circle

1.2.3 Area of a Sector

1.2.3 Area of a Sector

1.1.3 Coterminal Angles

1.1.3 Coterminal Angles

1.1.4 Degrees, Minutes, and Seconds

1.1.4 Degrees, Minutes, and Seconds

1.1.2 Degree Measure

1.1.2 Degree Measure

1.1.1 Introduction to Angles

1.1.1 Introduction to Angles

3.1B Power Series Solutions to Differential Equations

3.1B Power Series Solutions to Differential Equations

3.1A Introduction and Brief Review of Power Series

3.1A Introduction and Brief Review of Power Series

2.6 Forced Oscillations and Resonance

2.6 Forced Oscillations and Resonance

2.5 Nonhomogeneous Equations and Undetermined Coefficients

2.5 Nonhomogeneous Equations and Undetermined Coefficients

2.4 Mechanical Vibrations

2.4 Mechanical Vibrations

2.3 Homogeneous Equations with Constant Coefficients

2.3 Homogeneous Equations with Constant Coefficients

2.2 General Solutions of Linear Equations

2.2 General Solutions of Linear Equations

1.6 Substitution and Exact Equations

1.6 Substitution and Exact Equations

1.5 Linear First Order Equations

1.5 Linear First Order Equations

1.4 Separable Equations and Applications

1.4 Separable Equations and Applications

1.2 Integrals as General and Particular Solutions

1.2 Integrals as General and Particular Solutions

1.1 Differential Equations and Mathematical Models

1.1 Differential Equations and Mathematical Models

11.3.2 Series Representation of Elementary Functions

11.3.2 Series Representation of Elementary Functions

11.3.1 Taylor and Maclaurin Series

11.3.1 Taylor and Maclaurin Series

11.1.2 Taylor Polynomials

11.1.2 Taylor Polynomials

11.1.1 Polynomial Approximations of Elementary Functions

11.1.1 Polynomial Approximations of Elementary Functions

10.6.2 Absolute and Conditional Convergence

10.6.2 Absolute and Conditional Convergence

10.6.1 The Alternating Series Test

10.6.1 The Alternating Series Test

10.7.1 The Ratio Test

10.7.1 The Ratio Test

10.7.2 The Root Test

10.7.2 The Root Test

10.5.2 Limit Comparison Test

10.5.2 Limit Comparison Test

10.4.2 The Integral Test

10.4.2 The Integral Test

10.4.1 The Divergence Test

10.4.1 The Divergence Test

10.5.1 Direct Comparison Test

10.5.1 Direct Comparison Test

10.4.3 p Series

10.4.3 p Series

10.3.2 Geometric Series

10.3.2 Geometric Series

10.1.3 Introduction to Series

10.1.3 Introduction to Series

10.3.3 Telescoping Series

10.3.3 Telescoping Series

10.2.1 Discrete Sequences and Continuous Functions

10.2.1 Discrete Sequences and Continuous Functions

10.1.1 Introduction to Sequences

10.1.1 Introduction to Sequences

10.2.2 Sequence Behavior; 10.2.3 The Geometric Sequence

10.2.2 Sequence Behavior; 10.2.3 The Geometric Sequence

10.1.2 The Limit of a Sequence

10.1.2 The Limit of a Sequence

8.8.2 Applications Involving Improper Integrals

8.8.2 Applications Involving Improper Integrals

8.8.3 Infinite Integrands

8.8.3 Infinite Integrands

8.8.1 Integrals Over Infinite Intervals

8.8.1 Integrals Over Infinite Intervals

8.5.2 Partial Fractions with Linear Factors

8.5.2 Partial Fractions with Linear Factors

8.5.3 Partial Fractions with Quadratic Factors

8.5.3 Partial Fractions with Quadratic Factors

8.5.1 Introduction to Partial Fractions

8.5.1 Introduction to Partial Fractions

8.4.2 Applications with Trigonometric Substitution

8.4.2 Applications with Trigonometric Substitution

8.4.1 Integrals Involving the Sum or Difference of Squares

8.4.1 Integrals Involving the Sum or Difference of Squares

8.3.4 Integrating Products of Powers of Secant and Tangent

8.3.4 Integrating Products of Powers of Secant and Tangent

8.3.1 Basic Trigonometric Integrals

8.3.1 Basic Trigonometric Integrals

8.3.3 Integrating Products of Powers of Sine and Cosine

8.3.3 Integrating Products of Powers of Sine and Cosine

8.3.5 Integrating with Product to Sum Formulas

8.3.5 Integrating with Product to Sum Formulas

8.3.2 Integrating Powers of Sine or Cosine

8.3.2 Integrating Powers of Sine or Cosine

8.2.5 The Tabular Method

8.2.5 The Tabular Method

8.2.3 IBP Category 2

8.2.3 IBP Category 2

8.2.4 IBP Category 3

8.2.4 IBP Category 3

8.2.2 IBP Category 1

8.2.2 IBP Category 1

7.2B.2 Introduction to Differential Equations

7.2B.2 Introduction to Differential Equations

8.2.1 Voo Doo!

8.2.1 Voo Doo!

7.5.3 Integrals Involving Inverse Trigonometric Functions

7.5.3 Integrals Involving Inverse Trigonometric Functions

7.6.1 L'Hopital's Rule

7.6.1 L'Hopital's Rule

7.5.1 Working with Inverse Trigonometric Functions

7.5.1 Working with Inverse Trigonometric Functions

7.5.2 Differentiating Inverse Trigonometric Functions

7.5.2 Differentiating Inverse Trigonometric Functions

7.6.2 Comparing Growth Rates of Functions

7.6.2 Comparing Growth Rates of Functions

7.6.3 Calculus Definition of the Natural Base

7.6.3 Calculus Definition of the Natural Base

7.3.1 Differentiating Exponential & Logarithmic Functions with Other Bases

7.3.1 Differentiating Exponential & Logarithmic Functions with Other Bases

7.3.2 Integrating Exponential Functions with Other Bases

7.3.2 Integrating Exponential Functions with Other Bases

7.2C.3 Integrating Natural Exponential Functions

7.2C.3 Integrating Natural Exponential Functions

7.2C.2 Differentiating the Natural Exponential Function

7.2C.2 Differentiating the Natural Exponential Function

7.2C.4 Introduction to Hyperbolic Trigonometry

7.2C.4 Introduction to Hyperbolic Trigonometry

7.2C.1 The Logistic Growth Model

7.2C.1 The Logistic Growth Model

7.2B.1 Integrating Rational Functions

7.2B.1 Integrating Rational Functions

7.2A.1 Derivatives of Natural Logarithms

7.2A.1 Derivatives of Natural Logarithms

7.2A.2 Techniques of Differentiation

7.2A.2 Techniques of Differentiation

7.1.2 The Calculus of Inverse Functions

7.1.2 The Calculus of Inverse Functions

7.1.1 The Algebra of Inverse Functions

7.1.1 The Algebra of Inverse Functions

12.3.2 The Standard Deviation

12.3.2 The Standard Deviation

12.4.4 The Standard Normal Distribution

12.4.4 The Standard Normal Distribution

12.4.3 The 68-95-99.7 Rule

12.4.3 The 68-95-99.7 Rule

12.3.1 The Range

12.3.1 The Range

12.4.1 The Bell Curve

12.4.1 The Bell Curve

12.4.2 Standard Deviations Above and Below the Mean

12.4.2 Standard Deviations Above and Below the Mean

12.4.5 Percentiles

12.4.5 Percentiles

12.2.1 The Mean

12.2.1 The Mean

12.2.4 The Midrange

12.2.4 The Midrange

12.2.3 The Mode

12.2.3 The Mode

12.2.2 The Median

12.2.2 The Median

12.1.4 Histograms and Frequency Polygons

12.1.4 Histograms and Frequency Polygons

12.1.1 Population and Samples

12.1.1 Population and Samples

12.1.3 Grouped Frequency Distributions

12.1.3 Grouped Frequency Distributions

12.1.5 Stem and Leaf Plots

12.1.5 Stem and Leaf Plots

12.1.2 Frequency Distributions

12.1.2 Frequency Distributions

11.4.1 Theoretical Probability

11.4.1 Theoretical Probability

11.4.2 Empirical Probability

11.4.2 Empirical Probability

11.2.2 Counting Permutations

11.2.2 Counting Permutations

11.2.1 Factorial Notation

11.2.1 Factorial Notation

11.3.1 Counting Combinations Combinations

11.3.1 Counting Combinations Combinations

11.1.2 The Fundamental Counting Principle

11.1.2 The Fundamental Counting Principle

11.2.3 Permutations of Duplicate Items

11.2.3 Permutations of Duplicate Items

8.7.3 Early Payoff Calculators

8.7.3 Early Payoff Calculators

8.7.2 Mortgage Payment

8.7.2 Mortgage Payment

8.7.4 Dave Ramsey Personal Financial Plan

8.7.4 Dave Ramsey Personal Financial Plan

11.1.1 Tree Diagrams

11.1.1 Tree Diagrams

8.7.1 Mortgage Terminology

8.7.1 Mortgage Terminology

8.6.1 Calculating Car Payments

8.6.1 Calculating Car Payments

8.4.1 Compound Interest Formula

8.4.1 Compound Interest Formula

8.6.2 Annual Fuel

8.6.2 Annual Fuel

8.5.2 Annuity Future Value

8.5.2 Annuity Future Value

8.4.3 Effective Annual Yield

8.4.3 Effective Annual Yield

8.5.3 Annuity Present Value

8.5.3 Annuity Present Value

8.5.1 What is an Annuity?

8.5.1 What is an Annuity?

8.4.2 Compound Interest Present Value

8.4.2 Compound Interest Present Value

8.1.2 Percent Formula

8.1.2 Percent Formula

8.2.2 Calculating Federal Income Tax

8.2.2 Calculating Federal Income Tax

8.3.2 Simple Interest Future Value

8.3.2 Simple Interest Future Value

8.2.1 Calculating Taxable Income

8.2.1 Calculating Taxable Income

8.2.3 Social Security and Medicare

8.2.3 Social Security and Medicare

8.3.1 Simple Interest Formula

8.3.1 Simple Interest Formula

8.1.4 Percent Increase and Decrease

8.1.4 Percent Increase and Decrease

8.1.1 Basics of Percent

8.1.1 Basics of Percent

8.1.3 Applications of Percent

8.1.3 Applications of Percent

3.7.2 Correct Reasoning

3.7.2 Correct Reasoning

3.7.3 Incorrect Reasoning and Fallacies

3.7.3 Incorrect Reasoning and Fallacies

3.4.3 Recognizing Tautologies

3.4.3 Recognizing Tautologies

3.3.3 Building Truth Tables

3.3.3 Building Truth Tables

3.4.2 Biconditional Truth Table

3.4.2 Biconditional Truth Table

3.7.1 Syllogisms

3.7.1 Syllogisms

3.4.4 Junk Mail Deception

3.4.4 Junk Mail Deception

3.4.1 Conditional Truth Table

3.4.1 Conditional Truth Table

3.3.1 Basic Truth Tables

3.3.1 Basic Truth Tables

3.3.2 Truth Tables and Electric Circuits

3.3.2 Truth Tables and Electric Circuits