An Introduction to Trig Identities

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Presentation transcript:

An Introduction to Trig Identities Section: 4.3 An Introduction to Trig Identities What is an identity? Reciprocal Identities

Quotient Identities

Pythagorean Identities

Relationships Between Trig Functions SIN COS SEC TAN COT CSC Given the value of one trig function, we can use identities to find all the rest!

Cofunctions sin 30° = cos 60 ° = 1/2 tan 10° = cot 80° sec 15 ° = csc 75 ° In general… Cofunctions of Complements are Equal ! sin  = cos (π/2 – ) The COMPLEMENT of 

Know how to evaluate trig functions for special angles 30° 45° 60° sin cos tan

Memorize! 30° 45° 60° sin cos tan 1

Standing on the ground, a surveyor is 30 ft from the base of a tree Standing on the ground, a surveyor is 30 ft from the base of a tree. The angle of elevation is 68 degrees. How tall is the tree?