Basic Trigonometric Identities
Trigonometric identities are equations involving the trigonometric functions that are true for every value of the variables involved.
Some of the most commonly used trigonometric identities are derived from the Pythagorean Theorem, like the following:
Example:
Simplify the expression using trigonometric identities.
Rewrite tan as sin/cos.
Use the fundamental Pythagorean identity, we get
The Reciprocal identities
Example:
The Quotient Identities
Example:
Consider the expression on the left side of the equation.
