Overview

This course is all about Proving/Verifying and Using Trig Identities.Upon completing this course, you will understand how to prove the Reciprocal and Quotient Identities, Odd and Even Identities, Cofunction Identities, Pythagorean Identities, Sum and Difference Formulas, Double-Angle Identities, Power Reducing Identities, Half-Angle Identities, Product-to-Sum Formulas, and Sum-to-Product Formulas. You will be able to use the above identities to verify other trig Identities, rewrite trig expressions, find the value of trig expressions, and solve trig equations.Finally, you will understand how to prove that a trig equation is NOT an identity.Section 1: The Reciprocal and Quotient IdentitiesProof of the Reciprocal and Quotient IdentitiesSimplifying Trig Expressions Using the Reciprocal and Quotient Identities The Reciprocal and Quotient Identities (Quiz)Section 2: The Odd and Even Trig IdentitiesProof of the Odd and Even Trig IdentitiesVerifying Trig Identities Using the Odd and Even Trig Identities The Odd and Even Identities (Quiz)Section 3: The Cofunction Trig Identities Proof of the Cofunction Trig IdentitiesVerifying Trig Identities Using the Cofunction Trig Identities Section 4: The Pythagorean Trig IdentitiesProving the Pythagorean Trig IdentitiesSimplifying Trig Identities Using the Pythagorean IdentitiesVerifying Trig Identities Using the Pythagorean IdentitiesThe Pythagorean Identities (Quiz)Extra: Overview of Concepts (Hand-Written)Extra: Tons of Problems Solved, Showing All Steps (Hand-Written)Section 5: The Sum and Difference FormulasDeriving the Sum and Difference Formulas for Sine and CosineProving the Sum and Difference Formulas for Tangent and CotangentVerifying Trig Identities Using the Sum and Difference Formulas Finding the Exact Value of Trig Functions Using the Sum IdentitiesThe Sum and Difference Formula (Quiz)Extra: Overview of Concepts (Hand-Written)Extra: Tons of Problems Solved, Showing All Steps (Hand-Written)Section 6: The Double Angle FormulasProving the Double Angle Identities Verifying Trig Identities Using the Double Angle FormulasThe Double-Angle Identities (Quiz)Extra: Overview of Concepts (Hand-Written)Extra: Tons of Problems Solved, Showing All Steps (Hand-Written)Section 7: The Power Reducing and Half-Angle IdentitiesProving the Power Reducing and Half-Angle IdentitiesUsing the Power-Reducing Identities to Rewrite Trig ExpressionsUsing the Half Angle Identities to Find the Exact Value of Trig ExpressionsUsing the Half-Angle Trig Identities to Find the Exact ValueThe Power Reducing and Half-Angle Identities (Quiz)Extra: Overview of Concepts (Hand-Written)Extra: Tons of Problems Solved, Showing All Steps (Hand-Written)Section 8: The Product-to-Sum FormulasProving the Product-to-Sum Trig FormulasUsing the Product-to-Sum Identities to Rewrite Trig ExpressionsThe Product-to-Sum Formulas (Quiz)Section 9: The Sum-to-Product FormulasProving the Sum to Product Trig FormulasUsing the Sum-to-Product Identities to Solve Trig EquationsThe Sum-to-Product Formulas (Quiz)Section 10: Disproving IdentitiesProving that a Trig Equation is NOT an IdentityDisproving Identities (Quiz) For each topic, you are given:1. An reading (attached as a resource) explaining concepts, details, and the example that is used in the video.2. A video showing a visual of the example in the reading.If you watch each video and follow the associated reading, you will have a good understanding for proving/verifying and using trig Identities.I hope that I can assist you on your math journey!Sincerely,MathAngel369

Skills

Reviews