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Chapter 5.3

Chapter 5.3. Solving Trigonometric Equations. Objectives. Verify x-values that are solutions of an equation. 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:.

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Chapter 5.3

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  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!

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