10-10-23 Chapter 6 Part 3

Class Notes

Topics Covered:

  • Sketching the graph of y = a sin(x) or y = a cos(x)

  • Sketching the graph of y = sin(bx) or y = cos(bx)

  • Using transformations to graph y = ±sin(bx) or y = ±cos(bx)

  • Sketching the graph of y = a sin(bx) or y = a cos(bx)

  • Amplitude and period of a sine or cosine function

  • Matching graphs and equations for secant, cosecant, tangent, and cotangent functions

  • Sketching the graph of a secant or cosecant function: Problem type 1

  • Sketching the graph of a tangent or cotangent function: Problem type 1

  • Evaluating a sinusoidal function that models a real-world situation

  • Sketching the graph of y = sin(x) + d or y = cos(x) + d

  • Using transformations to graph y = ±sin(x) + d or y = ±cos(x) + d

  • Using transformations to graph y = a sin(x) + d or y = a cos(x) + d

  • Using transformations to graph y = ±sin(bx) + d or y = ±cos(bx) + d

  • Using graphing to solve a trigonometric equation involving sine or cosine

  • Sketching the graph of y = sin(x+c) or y = cos(x+c)

  • Sketching the graph of y = a sin(x+c) or y = a cos(x+c)

  • Using transformations to graph y = a sin(x+c) + d or y = a cos(x+c) + d

  • Using transformations to graph y = sin(bx+c) or y = cos(bx+c)

  • Sketching the graph of y = a sin(bx+c) or y = a cos(bx+c)

  • Sketching the graph of y = a sin(bx) + d or y = a cos(bx) + d (4m)

  • Using transformations to graph y = a sin(bx+c) + d or y = a cos(bx+c) + d (4m 30s)

  • Amplitude, period, and phase shift of a sine or cosine function (2m)

  • Understanding how changes to the amplitude, period, phase shift, and vertical shift affect a sinusoidal graph (2m)

  • Sketching the graph of a secant or cosecant function: Problem type 2 (5m 30s)

  • Sketching the graph of a tangent or cotangent function: Problem type 2 (5m)