Circular Functions & Trig Identities 3: Trigonometric Identities

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Presentation transcript:

Circular Functions & Trig Identities 3: Trigonometric Identities Homework Haese & Harris 3rd Edition Ex 11D p269 Q1 – 10

Trigonometric Identities Pythagorean Identity use when sine or cosine is known and you want to find the other Double-angle Identity for sine Double-angle Identities for cosine Double Angle identities are used to convert an expression where the angle is into an expression where the angle is

Solving Trig Equations Using Identities Given that and find the exact values of: If where find:

More Trig Equations Given that and find the exact values of: If where find:

More Trig Equations Solve the equation for Do not use your GDC.

More Trig Equations Find all values of x, such that where

Proofs (“show that”) with Trig Identities Prove that

More Proofs with Identities Prove that Prove that