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Graphs of Sine and Cosine


Basic Shapes of Sine and Cosine

Types of Problems:

  • Determine extreme values, intercepts, and midlines related to the graph of the sine and cosine function
  • Be able to sketch a graph of sine and cosine function
  • Be able to label "special" exact points on the graph of the sine and cosine function
  • Be able to graph multiple periods of sine and cosine function
  • Be able to state a set of x coordinates that lead to a given y coordinates using sequences
  • Use proper notation and descriptions in relation to the graphs of sine and cosine graph

Notes & Handouts

Practice 

Video and other resources

DESMOS File: Sine function
DESMOS File: Six periods of Sine Function
DESMOS File: Cosine function
DESMOS File: Six periods of Cosine Function

Four Basic Transformations of Sine and Cosine

Types of Problems:

  • "a" transformations of y = sin x and y = cos x
  • "b" transformations of y = sin x and y=cos x
  • "c" transformations of y = sin x and y=cos x
  • "d" transformations of y = sin x and y=cos x
  • Distinguish what the impact of sign and size of a, b, c and d on the graphs of y = sin x and y = cos x

Notes & Handouts

Practice

​Video and other resources

KHAN Academy Link: Amplitude and Period transformations 
Past Examples of Transformations of Sine

Multiple Transformations of Sine and Cosine

​Types of Problems:

  • "a" & "b" transformations of            y = sin x and y = cos x
  • "a" & "c" transformations of            y = sin x and y=cos x
  • "a" & "d" transformations of             y = sin x and y=cos x
  • "b" & "c" transformations of            y = sin x and y=cos x
  • "b" & "d" transformations of             y = sin x and y=cos x
  • "c"& "d" transformations of             y = sin x and y=cos x
  • "a" ,"b" & "c" transformations of     y = sin x and y = cos x
  • "a" ,"b" & "d" transformations of     y = sin x and y = cos x
  • "a" ,"c" & "d" transformations of     y = sin x and y = cos x
  • "b" ,"c" & "d" transformations of     y = sin x and y = cos x
  • "a", "b" ,"c" & "d" transformations of y = sin x and y = cos x
  • Distinguish what the impact of sign and size of a, b, c and d on the graphs of y = sin x and y = cos x

​Practice

​Video and other resources

​Notes & Handouts



Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you