Lesson 40 - Changing Periods

Solve using no calc.

Sin2x= 0.25
1) Draw SPA
2) Find the angles
3)Divded each side by two      - treat 2x as Ѳ
4) add the period to each side to get other answers

Sin2x = 0.25
   2          2

x= 0.25     x= 2.89
        2               2
= 0.125      =1.45
  + π                +π                   (add the period for the eq'n to get next answers)
= 3.26             = 4.59
x= 0.125, 1.45, 3.26, 4.59

Solve with factoring:

Tan^2 + tanx = 0
    x^2 + x  = 0  ( what its like)  factor!
  tanx(tanx +1) 
tanx = 0          tanx= -1       
         Do SPA                (tan is slope)
x= 0, π               x= 3π /4, 7π /4