Trigonometric Identities - Simplify Expressions



In this lesson, we will learn how to use trigonometric identities to simplify trigonometric expressions.

Related Topics: More Trigonometric Identities


The following are some common trigonometric identities: Reciprocal Identities, Quotient Identities and Pythagorean Identities.

Reciprocal Identities


Quotient Identities


Pythagorean Identities





Example:

Simplify


Solution:



Example:

Simplify

Solution:



Videos

Simplifying Trigonometric Expressions Using Identities, Example 1
(tan3x)(csc3x)



Simplifying Trigonometric Expressions Using Identities, Example 2
sec x cos x − cos2 x
(csc2 x − 1)(sec2 x sin2 x)



Simplifying Trigonometric Expressions Using Identities, Example 3
(csc2 x − 1)/csc2 x
(csc2 x − cot2 x)/(tan2 x - sec2 x)





Algebraic Manipulation of Trigonometric Functions -
Part 1 Distributive Property, FOIL, Factoring



Algebraic Manipulation of Trigonometric Functions -
Part 2 Simplifying Complex Fractions, Multiplying, Dividing, Adding and Subtracting Fractions





Algebraic Manipulation of Trigonometric Functions -
Part 3 Radical Expressions: Multiplying, Dividing, Simplifying. Rationalizing the Denominator



Algebraic Manipulation of Trigonometric Functions -
Part 4 More Examples







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