Integrated Math 3 [CP/Honors] Resources

Trigonometry

Solving Trigonometric Equations

• Solving a Basic Trigonometric Equation, Example 1
• Solving a Basic Trigonometric Equation, Example 2
• Solving a Basic Trigonometric Equation, Example 3
• Solving a Trigonometric Equation by Factoring, Example 1
• Solving a Trigonometric Equation by Factoring, Example 2
• Solving a Trigonometric Equation by Factoring, Example 3
• Solving Trigonometric Equations with Coefficients in the Argument – Example 1
• Solving Trigonometric Equations with Coefficients in the Argument – Example 2
• Solving Trigonometric Equations with Coefficients in the Argument – 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

Right Triangle and Unit Circle Trigonometry

• Right Triangles and Trigonometry
• A Way to Remember the Unit Circle
• A Trick to Remember Values on The Unit Circle
• A way to remember the Entire Unit Circle for
• Special Right Triangles in Trigonometry: 45-45-90 and 30-60-90
• Complementary and Supplementary Angles – Example 1
• Complementary and Supplementary Angles – Example 2
• Degrees and Radians and Converting Between Them! Example 1
• Degrees and Radians and Converting Between Them! Example 2
• The Trigonometric Functions: The Basics! Example 1
• The Trigonometric Functions: The Basics! 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
• 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
• 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
• Examples with Trigonometric Functions: Even, Odd
• Cofunction Identities, Example 2
• Cofunction Identities, Example 3
• Degrees and Radians
• Maximum and Minimum Values of Sine and Cosine Functions, Ex 1
• Maximum and Minimum Values of Sine and Cosine Functions, Ex 2
• Inverse Trigonometric Functions: Derivatives – Ex 2
• Inverse Trigonometric Functions: Derivatives – Ex 3
• Arc Length Formula – Example 1
• Arc Length Formula – Example 2
• The Distance Formula and Finding the Distance Between Two Points – Example 1
• Pythagorean Theorem
• Coterminal Angles – Example 1
• Coterminal Angles – Example 2
• Coterminal Angles – Example 3
• 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
• The Center-Radius Form for a Circle – A few Basic Questions, Example 1
• The Center-Radius Form for a Circle – A few Basic
• Reference Angle for an Angle, Ex 1 (Using Degrees)
• Reference Angle for an Angle, Ex 2 (Using Radians)

Graphing Trigonometric Functions

• Graphing the Trigonometric Functions
• Graphing Trigonometric Functions, Graph Transformations – Part 1
• The Graph of Cosine, y = cos (x)
• Graphing Sine and Cosine With Different Coefficients (Amplitude and Period), Ex 1
• Graphing y = -2 cos(2x)
• 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 3
• Basic Questions Related to Tangent, Cotangent,
• Maximum and Minimum Values of Sine and Cosine Functions, Ex 1
• Maximum and Minimum Values of Sine and Cosine
• Finding a Formula for a Trigonometric Graph, Ex 1
• Finding a Formula for a Trigonometric Graph, Ex 2

Solving Word Problems with Trigonometry

• 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
• 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
• Solving Word Problems Involving Trigonometric
• Solving Word Problems Involving Trigonometric
• Word Problems Involving Multiple Angle Identities, Example 1
• Word Problems Involving Multiple Angle Identities, Example 2
• Word Problems Involving Multiple Angle Identities, Example 3
• Word Problems Using the Pythagorean Theorem – Ex 1
• Word Problems Using the Pythagorean Theorem – Ex 2
• Word Problems Using the Pythagorean Theorem – Ex 3

Trigonometric Identities

• Deriving Trigonometric Identities from Known Identities
• Proving some Random Trigonometric Identities
• Proving an Identity, Example 1
• Proving an Identity, Example 2
• Proving an Identity – Other Examples, Example 1
• Proving an Identity – Other Examples, Example 2
• Identities for Sum and Differences of Sine and Cosine, Example 1
• Identities for Sum and Differences of Sine and
• Sum and Difference Identities to Simplify an Expression, Example 3
• 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
• 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,
• Using Double Angle Identities to Solve Equations, Example 1
• Using Double Angle Identities to Solve Equations, Example 2
• Half Angle Identities to Evaluate Trigonometric Expressions, Example 3
• Using Double Angle Identities to Solve Equations, Example 3
• Cofunction Identities, Example 2
• Cofunction Identities, Example 3
• Half Angle Identities to Evaluate Trigonometric
• Half Angle Identities to Evaluate Trigonometric

Law of Sines and Law of Cosines

• The Law of Cosines
• Law of Cosines, Example 2
• Law of Cosines, Example 2
• 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, SAS, Example 1
• Solving a Triangle, SAS, Example 2
• Law of Sines – Application/Word Problem, Ex 1
• Law of Sines – Application / Word Problem, Ex 2
• Law of Cosines, Example 1
• 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

Systems of Equations

• Solving a Linear System of Equations by Graphing
• Linear System of Equations: Solving using Substitution
• Linear System of Equations: Solving using Elimination by Addition
• Solving a System of Equations Involving 3 Variables Using Elimination by Addition – Example 1
• Solving a System of Equations Involving 3 Variables Using Elimination by Addition – Example 2
• Solving a System of Equations Involving 3 Variables Using Elimination by Addition – Example 3
• Systems of Linear Equations – Inconsistent Systems Using Elimination by Addition – Example 1
• Systems of Linear Equations – Inconsistent Systems Using Elimination by Addition – Example 2
• Systems of Linear Equations – Inconsistent Systems Using Elimination by Addition – Example 3
• Solving a Dependent System of Linear Equations

Solving a system of nonlinear inequalities by graphing

https://www.youtube.com/watch?v=Gt_AgCIqYIg&list=PL2EC6AA23B1563190&index=26

Solving a system of nonlinear equations by elimination

https://www.youtube.com/watch?v=pCVKWUBFHrk&index=27&list=PL2EC6AA23B1563190

Solving a system of nonlinear equations by substitution

https://www.youtube.com/watch?v=nYqQaQJYAXs&list=PL2EC6AA23B1563190&index=28

Limits (Introduction to Calculus)

• What is a Limit? Basic Idea of Limits
• Calculating a Limit by Factoring and Cancelling
• Calculating a Limit by Getting a Common Denominator
• Calculating a Limit by Expanding and Simplifying
• Calculating a Limit by Multiplying by a Conjugate
• Calculating a Limit Involving Absolute Value
• sin(x)/x Limit as x Approaches Zero
• Squeeze Theorem for Limits
• Infinite Limits
• Infinite Limits – Basic Idea and Shortcuts for Rational Functions
• Infinite Limits with a Radical in the Expression
• Continuity – Part 1 of 2
• Continuity – Part 2 of 2
• Intermediate Value Theorem
• What is a Derivative? Understanding the Definition
• Sketching the Derivative of a Function
• Derivatives – Basic Examples
• Tangent Line: Finding the Equation