1 / 7

Solving Trigonometric Equations Involving Multiple Angles 6.3

Solving Trigonometric Equations Involving Multiple Angles 6.3. JMerrill, 2009. Strategies for Solving Trig. Equations with Multiple Angles. If the equation involves functions of 2x and x, transform the functions of 2x into functions of x by using identities

james-bennett
Télécharger la présentation

Solving Trigonometric Equations Involving Multiple Angles 6.3

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. SolvingTrigonometric EquationsInvolving Multiple Angles6.3 JMerrill, 2009

  2. Strategies for Solving Trig. Equations with Multiple Angles • If the equation involves functions of 2x and x, transform the functions of 2x into functions of x by using identities • If the equation involves functions of 2x only, it is usually better to solve for 2x directly and then solve for x • Be careful not to lose roots by dividing off a common factor • Remember: You can always graph to check your solutions

  3. Example • Solve cos 2x = 1 – sin x for 0 ≤ x < 2π

  4. You Do • Solve for 0o≤θ<360o cos 2x = cos x

  5. Example • Solve 3cos2x + cos x = 2 for 0 ≤ x < 2π

  6. Example All of the previous examples were solved for x. Now we’ll solve for 2x directly. • Solve 2sin2x = 1 for0o ≤ θ < 360o Pretend the 2 isn’t in front of the x and solve it (solve sin x = ½ )

  7. You Do • Solve for 0o≤θ<360o tan22x-1=0

More Related