Proving Trigonometric Identities

Lesson Objectives

• Quick Review of Trigonometric Identities
• Some Steps in Proving/Verifying Identities
• Some hints and suggestions for better proving
• Some problems and exercises involving proving identities
• How to get proficient at verifying identities
• Never give up, every identity is different. You will soon succeed.

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Trigonometric Identities

Lesson Objectives

• Definition of Identity
• Enumerate Reciprocal Identities
• Enumerate Quotient Identities
• Enumerate Pythagorean Identities
• Enumerate Even-Odd Identities
• Could successfully analyze, verify and prove Identities

Trigonometric Identities Lecture PDF

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• Plane and Spherical Trigonometry Course Outline

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Graphs of Other Trigonometric Functions

Lesson Objectives

• Able to plot the different Trigonometric Graphs
• Graph of Tangent Function (y = f(x) = tanx)
• Graph of Cotangent Function (y = f(x) = cotx)
• Graph of Secant Function (y = f(x) = secx)
• Graph of Cosecant Function (y = f(x) = cscx)
• Define the Maximum and Minimum value in a graph
• Generalized Trigonometric Functions
• Graphs of y = sinbx
• Graphs of y = sin(bx + c)
• Could find the Period of Trigonometric Functions
• Could find the Amplitude of Trigonometric Functions
• Variations in the Trigonometric Functions

Graphs of Other Trigonometric Functions Lecture PDF

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• Plane and Spherical Trigonometry Course Outline

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Graphs of the Sine and Cosine Functions

Lesson Objectives

• Able to plot the different Trigonometric Graphs
• Graph of Sine Function (y = f(x) = sinx)
• Graph of Cosine Function (y = f(x) = cosx)
• Define the Maximum and Minimum value in a graph
• Generalized Trigonometric Functions
• Graphs of y = sinbx
• Graphs of y = sin(bx + c)
• Could find the Period of Trigonometric Functions
• Could find the Amplitude of Trigonometric Functions
• Variations in the Trigonometric Functions

Graphs of the Sine and Cosine Functions Lecture PDF

Graphs of the Sine and Cosine Functions Lecture PPT

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• Plane and Spherical Trigonometry Course Outline

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Trigonometric Function of General Angles

Lesson Objectives

• Trigonometric Functions of Angles
• Trigonometric Function Values
• Could find the Six Trigonometric Functions
• The Signs of Trigonometric Functions
• Could easily determine the signs of each Trigonometric Functions
• Trigonometric Functions Quadrantal Angle
• Solve problems involving Quadrantal Angles
• Find Coterminal Angles
• Learn to solve using reference angle
• Solve problems involving Trigonometric Functions of Common Angles
• Solve problems involving Trigonometric Functions of Uncommon Angles

LESSON OUTLINE:

• Finding trigonometric function values of any angle
• Finding the six trigonometric functions
• Using the reference angle
• Using the same triangle idea
• The Signs of Trigonometric Functions
• Trigonometric Functions Quadrantal Angle
• Trigonometric Functions of Real Numbers
• Trigonometric Functions of Any Angle
• Evaluating Trigonometric Functions
• Using Coterminal Angle to Find the Exact Value of a Trigonometric Funcion
• Trigonometric Functions of Common Angles
• Trigonometric Functions of “Uncommon” Angles
• Seatwork
• Homework

Trigonometric Function of General Angles Lecture

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• Plane and Spherical Trigonometry Course Outline

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