1 / 10

7.4.3 – Solving Quadratic Like Trig Equations, Application

7.4.3 – Solving Quadratic Like Trig Equations, Application. Recall, we established ways to solve trig equations using a combination of algebra (inverse operations, isolate the variable) and trig functions (inverse trig functions)

adem
Download Presentation

7.4.3 – Solving Quadratic Like Trig Equations, Application

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. 7.4.3 – Solving Quadratic Like Trig Equations, Application

  2. Recall, we established ways to solve trig equations using a combination of algebra (inverse operations, isolate the variable) and trig functions (inverse trig functions) • On several occasions, we may solve trig equations which are similar to quadratic equations

  3. Solving Quadratics • Methods to solve algebraic quadratics: • 1) Factor • 2) Quadratic Equation • 3) Graph, approximate • In the case of trig, we can really only use options 1 and 3

  4. Key Tip • It’s hard to factor at times when you have cos, sin or other trig functions floating around • Look to replace those terms with “x” or a standard variable • Treat as an algebraic expression; replace trig functions when necessary

  5. Example. Solve the quadratic like equation 2sin2x – sinx – 1 = 0

  6. Example. Solve the equation tan2x + 2tanx = 3

  7. Example. Solve the equation 2cos2x - √3cosx = 0

  8. Application • When an object is shot in the air according to the angle θ, we can determine the range of the object traveled by the equation: • r = (1/32) v20 sin(2θ) • V0 = initial velocity

  9. Example. If a rock is shot in the air with an initial velocity of 400 feet per second and the rock lands 700 feet from where it was launched, determine the angle θ from the range using the previous equation.

  10. Assignment • Pg. 587 • 59-65, 85

More Related