1 / 11

Section 14-2: Trigonometric Identities

CHAPTER 14: PROPERTIES OF TRIGONOMETRIC AND CIRCULAR Functions. Section 14-2: Trigonometric Identities. Objective. Given a trigonometric equation, prove that it is an identity. Purposes. There are two purposes for learning how to prove identities.

maille
Download Presentation

Section 14-2: Trigonometric Identities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CHAPTER 14: PROPERTIES OF TRIGONOMETRIC AND CIRCULAR Functions Section 14-2: Trigonometric Identities

  2. Objective • Given a trigonometric equation, prove that it is an identity.

  3. Purposes • There are two purposes for learning how to prove identities. • To learn the relationships among the functions. • To learn to transform one trigonometric expression into another equivalent form, usually by simplifying it.

  4. agreement • To prove that an equation is an identity, start with one member and transform it into the other.

  5. Example • Prove:

  6. Notes • When working on identities, we must only work on one side of the equal sign!!!

  7. Example • Prove:

  8. Example • Prove:

  9. Example • Prove:

  10. Steps in Proving Identities • Pick the member you wish to work with and write it down. Usually it is easier to start with the more complicated member. • Look for algebraic things to do: • If there are two terms and you want only one: • Add fractions • Factor something out. • Multiply by a clever form of 1. • To multiply a numerator or denominator by its conjugate. • To get a desired expression in a numerator or denominator. • Do any obvious algebra such as: • Distributing • Squaring • Multiplying polynomials • Look for trigonometric things to do: • Look for familiar trigonometric expressions. • If there are squares of functions, think of the Pythagorean properties. • Keep looking at the answer to make sure you are headed in the right direction.

  11. HOMEWORK: PAGE 811 #1-33 ODD

More Related