Trigonometry, 4.0: Students graph functions of the form f(t)=Asin(Bt+C) or f(t)=Acos(Bt+C) and interpret A, B, and C in terms of amplitude, frequency,

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Presentation transcript:

Trigonometry, 4.0: Students graph functions of the form f(t)=Asin(Bt+C) or f(t)=Acos(Bt+C) and interpret A, B, and C in terms of amplitude, frequency, period, and phase shift.

Finish the assignments you were given last week The assignments will posted shortly on the projector from the website If you are finished, see the teacher for further information

1. Find the amplitude and period for sine and cosine functions. 2. Write equations of sine and cosine functions given the amplitude and period.

a. State the amplitude for the function y = 3 cos . b. Graph y = 3 cos  and y = cos  on the same set of axes. c. Compare the graphs.

A.According to the definition of amplitude, the amplitude of y = A cos  is  A . So, the amplitude of y = 3 cos  is  3  or 3.

B. Make a table of values. Then graph the points and draw a smooth curve.  0  22 cos  cos 

C.Both graphs cross the axis at the same points and also reach the minimum and maximum values at the same points. The difference is that the minimum and maximum values of y = cos  are -1 and 1, and the minimum and maximum values of y = 3 cos  are –3 and 3.

State the amplitude and period for the function y = sin 2 . Then graph the function.

Summary Grab a partner: Have one student explain to other students how to alter the period and amplitude for the basic sine graph and/or cosine graph. 6.4 Amplitude and Period of Sine and Cosine Functions pg373#(17-22 ALL, ODD, 57,60 EC). Problems not finished will be left as homework. Assignment