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Homework Questions

Section 4.4 Graphing sin(x) and cos(x) Investigation FIRST! Input/Output discussion Do sin(x) only to get started…

Periodic: A function is periodic if for some real number α, f (x+ α) = f (x) for each x in the domain. The least positive value for α for which f (x+ α) = f (x) is the period of the function.

Examples…

Graph on your calc: y = sin(x) and determine if periodic (ZOOM – TRIG)

Properties of sin(x) Period = 2π Domain: (-∞, ∞) Range: [-1, 1]

Graph cos x On investigation sheet first…

Graph cos x

Properties of cos(x) Period = 2π Domain: (-∞, ∞) Range: [-1, 1]

Translating sin and cos Section 4.4 Translating sin and cos

Amplitude The amplitude of the functions y = A sin Ө and y = A cos Ө is the absolute value of A.

Period = y = a sin (bx +c) + d y = a cos (bx +c) + d The distance it takes to go “one wave”

State the amplitude and the period and graph:

State the amplitude and the period and graph:

State the amplitude and the period and graph:

State the amplitude and the period and graph:

One last thing… Write an equation of the cosine function with amplitude 9.8 and period 6π.

Homework P. 394 (1-15 odd) - don’t graph, just state information (17-28) – State all information and graph one period. Sticker assignment – posted online