Chapter 3

Chapter 3

1. 3.1

   • when graphing sin or cos, use the corresponding coordinate to the corresponding radian as the way to plot it. (Coordinate-y, radian-x)
     • written out like a formula it is: f(x) = A*sine(B*theta+C)+D or g(x) = A*cosine(B*theta+C)+D.
       • The period is 2π/B and is how long before the graph repeats itself.
         • Amplitude is the absolute value of A
           • Baseline: D
             • Range: (D-absolute value of A, D + absolute value of A.)
               • phase shift: -c/b
                 • Natural position = starting position
                   • cosine starts at the peak of the wave.
                   • sine starts at the valley of the wave.

2. 3.2

   • Graphing Tangent and Cotangent
     • Use the points on the unit circle to determine the points you are graphing at
       • When graphing Tan, x cannot equal xπ/2 where x is odd.
         • When going right, tangent increases from -∞ to ∞
           • Graphing Cotangent is the same, except xπ/2, x cannot be even. And Cotangent is decreasing from the left.