1 / 11

Trig Equations

Trig Equations. Lesson 3.6. Find the Angle for the Ratio. Given the equation We seek the angle (the value of x) for which the cosine gives the ratio Answer can be found Graphically Using Reference Angle. 1 -1. 2 2. Multiple Solutions.

ulric-head
Download Presentation

Trig Equations

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. Trig Equations Lesson 3.6

  2. Find the Angle for the Ratio • Given the equation • We seek the angle (the value of x) for which the cosine gives the ratio • Answer can be foundGraphically Using Reference Angle 1 -1 2 2

  3. Multiple Solutions • Note that many solutions often exist • Often we restrict the solution to the range of the inverse functions (see page 214) • The range of cos-1x … …

  4. Note that @n1 signifies "some arbitrary integer" Multiple Solutions • Other solution methods • This gives us our multiple solutions

  5. Multiple Solutions • Also possible to limit the domain of the answers • Then you don't get a representation of all possible answers

  6. Using Inverse Functions • We can take the inverse cosine of both sides to solve the function

  7. Quadratic Trig Equations • Usually they will factor Also possible to use the quadratic formula

  8. Assignment • Lesson 3.6 – Assignment Part A • Page 278 • Exercises 1 – 59 EOO

  9. Solving Angle of Inclination • Note the Excel spreadsheet, PumpkinElevation.xls • Use for problem 92, pg 267 • It uses the formula • Given a distance, we solve for θ

  10. Modeling Sinusoidal Data Choo • Note sunset time for selected days of the year • Enter intodata matrix • Graph (zoomdata) • Use sin regression

  11. Assignment • Lesson 3.6 Part B • Page 279 • Exercises 85-97 odd

More Related