This course covers the full list of trigonometric identities, including reciprocal, quotient, pythagorean, even-odd, co-function, sum-difference, double-angle, half-angle, product-to-sum, and sum-to-product identities. Students will learn how to remember, derive, and apply these identities to simplify trigonometric expressions. The teaching method includes explanations, proofs, mnemonic devices, and practical tips. This course is intended for individuals looking to strengthen their understanding of trigonometry and enhance their ability to manipulate trigonometric functions effectively.
Overview
Syllabus
// What are trig identities?.
// How many trigonometric identities are there?.
// What are the trig identities based on?.
// How are trig functions defined by a right triangle?.
// What trig functions are trig identities based on?.
// What are reciprocal identities?.
// How to prove reciprocal identities?.
// How to remember reciprocal identities?.
// What are quotient identities? How to prove quotient identities?.
// What are pythagorean identities? How to prove pythagorean identities?.
// How to remember pythagorean identities?.
// What are even-odd identities?.
// How to remember even-odd identities?.
// Why are even-odd identities useful?.
// What are co-function identities?.
// How to remember co-function identities?.
// How to prove co-function identities?.
// What are sum-difference identities?.
// How to remember sum-difference identities?.
// Why are sum-difference identities useful?.
// What are double-angle identities? What are half-angle identities?.
// What are product-to-sum identities? What are the sum-to-product identities?.
// How to remember product-to-sum identities?.
// Summary.
Taught by
Krista King
