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.

Proving Trigonometric Identities Lecture PDF

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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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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

Graphs of Other Trigonometric Functions Lecture PPT

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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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Trigonometry: Angles and Measurement

Lesson Objectives

• Learn Definition and History of Trigonometry
• Know Some Introductory Concepts
• Define angles and how they are measured
• Changing Degree Measure to Radian Measure
• Changing Radian Measure to Degree Measure
• Solve problems involving the Sector Angle or Arc Length
• Solve problems involving Area of a Sector of a Cirle
• Solve problems involving Angular Velocity

LESSON OUTLINE:

• Definition
• History of Trigonometry
• Angles in Standard Position
• Positive and Negative Angles
• Measuring Angles
• Changing from Degree to Radian and vice versa
• Degree Minute and seconds
• Measuring Arc Length
• Finding the sector angle
• Area of a sector of a circle
• Angular Velocity
• Seatwork
• Homework

Angles and Measurement Lecture

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• Plane and Spherical Trigonometry Course Outline

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Trigonometry Handouts, Cheats and Worksheets

Due to time constraint, I failed to add lectures for Trigonometry. I want you to understand that I am adding notes only during my free time. For now, this page will be the temporary location for trigonometry concerns including handouts, cheats, worksheets that you can download for future references.

I am confident that all lectures will be added soon.

Fundamental Trigonometric Table

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Trigonometric Cheat Sheet

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credit: Paul Dawkins©2013 www.FroydWess.com

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