1 / 5

6.7

6.7. Trig Equations. Trig equations are equations involving trig functions that are satisfied by some values of the variable. The values that satisfy the equation are called the solutions of the equations. Ex. cos θ = ½

patsy
Download Presentation

6.7

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. 6.7 Trig Equations

  2. Trig equations are equations involving trig functions that are satisfied by some values of the variable. The values that satisfy the equation are called the solutions of the equations. Ex. cos θ = ½ The θ’s between 0 and 2π are π/3 and 5π/3, however we want all answers, so we get θ = π/3 + 2πk and θ = 5π/3 + 2πk Where k is any integer.

  3. Ex. 2 2 sin θ + √3 = 0, 0 ≤ θ ≤ 2π Get sin by itself sin θ = - √3 /2 What θ’s have sin equal to - √3 /2? θ = 4π/3 and 5π/3

  4. Ex. 3 tan (θ – π/2) = 1, 0 ≤ θ ≤ 2π We know that tan (π/4) = 1 so θ – π/2 = π/4 + kπ , k any integer (?) Now solve for θ, we get θ = 3π/4 + kπ In our interval θ = 3π/4 and 7π/4

  5. Trig equations use everything that you have learned: trig values, inverse trig, ASTC, identities and trig functions. HW pg 511 1-18 all Due weds

More Related