1 / 11

Solving Trigonometric Equations: Verify Solutions & Find Solutions in the Range

Learn how to verify x-values as solutions and solve for x over the range of 0 < x < 2π in trigonometric equations. Understand the importance of checking the unit circle and solving for each equation factor. Get all trig functions onto one side to simplify the process effectively.

cassia
Download Presentation

Solving Trigonometric Equations: Verify Solutions & Find Solutions in the Range

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 5.3 Solving Trigonometric Equations

  2. Objectives • Verify x-values that are solutions of an equation

  3. Ex: 1 Plug And Chug!Verifying an equation at a given x-value • Given x = π/8, verify that the x-value is the solution of the equation:

  4. Ex: 1 Plug And Chug!Verifying an equation at a given x-value

  5. Ex. 2A: Finding the solutions to an equation • Solve for x over the range of 0 < x < 2π • Get the trig value by itself, or at least as a power of itself

  6. Ex. 2A: Finding the solutions to an equation • Check the unit circle for viable x values

  7. Ex. 2B: Finding the solutions to an equation • Solve for x over the range of 0 < x < 2π • Notice there are two factors, if either factor is 0, then the equation will equal zero • Therefore, you need to solve for each equation

  8. Ex. 2B: Finding the solutions to an equation

  9. Ex. 2C: Finding the solutions to an equation • Solve for x over the range of 0 < x < 2π • Notice there are two trig functions, so pay close attention so you can get them to equal the same trig function

  10. Ex. 2C: Finding the solutions to an equation • Now you can get all the trig functions onto one side.

  11. Ex. 2C: Finding the solutions to an equation • Now you can factor!

More Related