Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 2
by
Patrick JMT

### Lecture Description

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In this video, I graph a trigonometric function by graphing the original and then applying the phase shift.

### Course Index

- Finding the Quadrant in Which an Angle Lies - Example 1
- Finding the Quadrant in Which an Angle Lies - Example 2
- Finding the Quadrant in Which an Angle Lies - Example 3
- Coterminal Angles - Example 1
- Coterminal Angles - Example 2
- Complementary and Supplementary Angles - Example 1
- Complementary and Supplementary Angles - Example 2
- Degrees and Radians and Converting Between Them! Example 1
- Arc Length Formula - Example 1
- Arc Length Formula - Example 2
- Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 1
- Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 2
- Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 3
- Finding an Angle Given the Value of a Trigonometric Function - Example 1
- Finding an Angle Given the Value of a Trigonometric Function - Example 2
- Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 1
- Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 2
- Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 3
- Finding the Height of an Object Using Trigonometry, Example 1
- Finding the Height of an Object Using Trigonometry, Example 2
- Finding the Height of an Object Using Trigonometry, Example 3
- Degrees and Radians
- A Way to remember the Entire Unit Circle for Trigonometry
- A Trick to Remember Values on The Unit Circle
- Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 1
- Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 2
- Reference Angle for an Angle, Ex 1 (Using Degrees)
- Reference Angle for an Angle, Ex 2 (Using Radians)
- Evaluating Trigonometric Functions Using the Reference Angle, Example 1
- Evaluating Trigonometric Functions Using the Reference Angle, Example 2
- Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 1
- Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 2
- Evaluating Trigonometric Functions at Important Angles, Ex 1
- Evaluating Trigonometric Functions at Important Angles, Ex 2
- The Graph of Cosine, y = cos (x)
- Graphing Sine and Cosine With Different Coefficients (Amplitude and Period), Ex 1
- Graphing y = -2 cos(2x)
- Maximum and Minimum Values of Sine and Cosine Functions, Ex 1
- Maximum and Minimum Values of Sine and Cosine Functions, Ex 2
- Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 1
- Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 2
- Trigonometric Functions and Graphing: Amplitude, Period, Vertical and Horizontal Shifts, Ex 2
- Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 1
- Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 2
- Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 4
- Finding a Formula for a Trigonometric Graph, Ex 1
- Finding a Formula for a Trigonometric Graph, Ex 2
- Trigonometry Word Problem, Finding The Height of a Building, Example 1
- Trigonometry Word Problem, Example 2
- Trigonometry Word Problem, Determining the Speed of a Boat, Example 3
- Simplifying Trigonometric Expressions Using Identities, Example 1
- Simplifying Trigonometric Expressions Using Identities, Example 2
- Simplifying Trigonometric Expressions Using Identities, Example 3
- Simplifying Trigonometric Expressions Involving Fractions, Ex 1
- Simplifying Trigonometric Expressions Involving Fractions, Example 2
- Simplifying Products of Binomials Involving Trigonometric Functions, Ex 1
- Simplifying Products of Binomials Involving Trigonometric Functions, Ex 2
- Factoring Trigonometric Expressions, Example 1
- Factoring and Simplifying Trigonometric Expressions - Example 2
- Examples with Trigonometric Functions: Even, Odd or Neither, Example 1
- Examples with Trigonometric Functions: Even, Odd or Neither, Example 2
- Examples with Trigonometric Functions: Even, Odd or Neither, Example 3
- Even, Odd or Neither, Trigonometric Functions, Example 4
- Proving an Identity, Example 1
- Proving an Identity, Example 2
- Proving an Identity - Other Examples, Example 1
- Proving an Identity - Other Examples, Example 2
- Solving a Basic Trigonometric Equation, Example 1
- Solving a Basic Trigonometric Equation, Example 2
- Solving a Basic Trigonometric Equation, Example 3
- Solve Trigonometric Equation by Factoring, Example 1
- Solving a Trigonometric Equation by Factoring, Example 2
- Solving a Trigonometric Equation by Factoring, Example 3
- Solving Trigonometric Equation, Harder Example - Example 1
- Solving Trigonometric Equation, Harder Example - Example 2
- Solving Trigonometric Equation , Harder Exampe - Example 3
- Solving Trigonometric Equations Using the Quadratic Formula - Example 1
- Solving Trigonometric Equations Using the Quadratic Formula - Example 2
- Solving Trigonometric Equations Using the Quadratic Formula - Example 3
- Solving Word Problems Involving Trigonometric Equations, Example 1
- Solving Word Problems Involving Trigonometric Equations, Example 2
- Identities for Sum and Differences of Sine and Cosine, Example 1
- Identities for Sum and Differences of Sine and Cosine, Example 2
- Identities for Sum and Differences of Sine and Cosine, Example 3
- Sum and Difference Identities for Sine and Cosine, More Examples #1
- Sum and Difference Identities for Sine and Cosine, More Examples #2
- Sum and Difference Identities for Sine and Cosine, More Examples #3
- Sum and Difference Identities to Simplify an Expression, Example 1
- Sum and Difference Identities to Simplify an Expression, Example 2
- Sum and Difference Identities to Simplify an Expression, Example 3
- Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 1
- Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 2
- Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 3
- Using Double Angle Identities to Solve Equations, Example 1
- Using Double Angle Identities to Solve Equations, Example 2
- Using Double Angle Identities to Solve Equations, Example 3
- Word Problems Involving Multiple Angle Identities, Example 1
- Word Problems Involving Multiple Angle Identities, Example 2
- Word Problems Involving Multiple Angle Identities, Example 3
- Cofunction Identities, Example 2
- Cofunction Identities, Example 3
- Power Reducing Formulas for Sine and Cosine, Example 1
- Power Reducing Formulas for Sine and Cosine, Example 2
- Half Angle Identities to Evaluate Trigonometric Expressions, Example 1
- Half Angle Identities to Evaluate Trigonometric Expressions, Example 2
- Half Angle Identities to Evaluate Trigonometric Expressions, Example 3
- The Law of Sines, Example 1
- The Law of Sines, Example 2
- Law of Sines, Example 3
- Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 1
- Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 2
- Solving a Triangle, SSA, Example 1
- Solving a Triangle, SSA, Example 2
- Law of Sines - Application/Word Problem, Ex 1
- Law of Sines - Application / Word Problem, Ex 2
- Law of Sines - Application/Word Problem, Ex 3
- Heron's Formula, Example 1
- Heron's Formula, Ex 2
- Heron's Formula, Example 3
- Law of Cosines, Example 1
- Law of Cosines, Example 2
- Law of Cosines, Example 3
- Law of Cosines, Example 4
- Law of Cosines, Example 5
- Law of Cosines, Example 6
- Law of Cosines, Word Problem #1
- An Introduction to Vectors, Part 1
- When Are Two Vectors Considered to Be the Same?
- Magnitude and Direction of a Vector, Example 1
- Magnitude and Direction of a Vector, Example 2
- Magnitude and Direction of a Vector, Example 3
- Vector Addition and Scalar Multiplication, Example 1
- Vector Addition and Scalar Multiplication, Example 2
- Finding the Components of a Vector, Ex 1
- Finding the Components of a Vector, Ex 2
- Finding a Unit Vector, Ex 1
- Finding a Unit Vector, Ex 2
- Word Problems Involving Velocity or Other Forces (Vectors), Ex 1
- Word Problems Involving Velocity or Other Forces (Vectors), Ex 2
- Word Problems Involving Velocity or Other Forces (Vectors), Ex 3.
- Complex Numbers: Graphing and Finding the Modulus, Ex 1
- Complex Numbers: Graphing and Finding the Modulus, Ex 2
- Expressing a Complex Number in Trigonometric or Polar Form, Ex 1
- Expressing a Complex Number in Trigonometric or Polar Form, Ex 2
- Expressing a Complex Number in Trigonometric or Polar Form, Ex 3
- Complex Numbers: Convert From Polar to Complex Form, Ex 1
- Complex Numbers: Multiplying and Dividing in Polar Form, Ex 1
- Complex Numbers: Multiplying and Dividing in Polar Form, Ex 2
- DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 1
- DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 2
- DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 3
- Roots of Complex Numbers, Ex 1
- Roots of Complex Numbers, Ex 2
- Roots of Complex Numbers, Ex 3
- More Roots of Complex Numbers, Ex 1
- More Roots of Complex Numbers, Ex 2
- Roots of Unity, Example 1
- Roots of Unity, Ex 2
- Intro to Polar Coordinates, Ex 1
- Converting Between Polar and Rectangular (Cartesian) Coordinates, Ex 3
- Converting Between Polar and Rectangular Equations, Ex 1
- Converting Between Polar and Rectangular Equations, Ex 2
- Converting Between Polar and Rectangular Equations, Ex 3
- Graphing Simple Polar Equations, Ex 1
- Graphing Simple Polar Equations, Ex 2
- Graphing Special Polar Equations, Ex 1
- Graphing Special Polar Equations; How Many Petals Will a Graph Have?
- Basic Info About a Limacon

### Course Description

Patrick providers a full course with more than 150 video lectures covering everything from angles and trigonometry, to polar coordinates and complex numbers.

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