Chapter 13: More Trig Lesson 2: More Trig Identities Mrs. Parziale

Fundamental Trigonometric Identities Reciprocal Identities

Fundamental Trigonometric Identities Tangent and Cotangent Identities

Fundamental Trigonometric Identities Pythagorean Identities

Fundamental Trigonometric Identities Cofunction Identities (Compliment Theorem)

Fundamental Trigonometric Identities Negative Angle Identities (Opposite Angles)

Example 1: Simplify the expression

Example 2: Simplify the expression

Example 3: Verify the identity

Example 4: Verify the identity

Example 5: Verify a real-life trigonometric identity. Shadow length. A vertical gnomon (the part of a sundial that projects a shadow) has height h. The length s of the shadow cast by the gnomon when the angle of the sun above the horizon is  can be modeled by the equation below. Show that the equation is equivalent to.

Closure A trigonometric equation that is true for all values of  (in its domain) is called a ______________________________ What are the reciprocal identities? What are the Pythagorean Identities? What are the Cofunction (Complement) Identities? What are the tangent identities?