1 / 21

Trig Equations

Trig Equations . LO: Solve basic trignometric equations. Sine Function y=sinx. Cosine Function y=cosx. Tangent Function y=tanx. Review on Radians. 90 = 180 = 270 = 360 = . Sine Function. Cosine Function. Tangent Function. Vocabulary. Domain: set of possible x- values

neal
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 LO: Solve basic trignometric equations

  2. Sine Function y=sinx

  3. Cosine Function y=cosx

  4. Tangent Function y=tanx

  5. Review on Radians • 90 = • 180 = • 270 = • 360 =

  6. Sine Function

  7. Cosine Function

  8. Tangent Function

  9. Vocabulary • Domain: set of possible x- values • Range: set of possible y- values • Period: Minimum interval of which the function repeats itself • Height of the wave function.

  10. Key Features

  11. Solving Trig Equations for

  12. for

  13. Trig Functions can also transform.. Change period + Moves left - Moves right + Moves up - Moves down Change amplitude

  14. Your turn for a b 330.2 169.8

  15. Your turn for a b 2.63 5.43

  16. How to do it using symmetry.. Solve for 0 < x 360 cos x = 0.12 x = cos 0.12 x = 83.1 or x = 360 – 83.1 x = 276.9 360 – 83.1 83.1

  17. Find x when sin x=0.46 sin x = 0.46 x = sin 0.46 x = 0.478 radians or x= – 0.478 x=2.664 rads 0.478 -0.478

  18. Rearrangements. Solve for x in the domain 2 cos x = 0.5 cos x = 0.25 [dividing each side by 2] x = cos 0.25 x = 75.5

  19. 75.5 360 - 75.5

  20. Solve for x in the domain of Solve for x in the domain 2 tan (x) + 3 = 4.5 2 tan (x) = 4.5 - 3 tan (x) = 0.75 [diving by 2] x = tan 0.75 x = 0.634

  21. 0.643 + 0.643

More Related