Worksheet – 5.3
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1. Calculate the exact average rate of change of f t   cos t on the interval
average rate of change on the graph of an appropriate period of y  cos t .
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2. Find the period and amplitude of the following sinusoidal functions. Show appropriate work
a.
y  7 sin 3t 
b. w  0.1cos t   2
period _________
amplitude ________
period _________
amplitude ________
3. The Bay of Fundy in Canada has the largest tides in the world. The difference between low and high
water levels is 15 meters. At a particular point the depth of the water, meters, is given as a
function of time, t , in hours since midnight by y  A cosBt  C   D .
a. What is the physical meaning of D ?
b. What is the value of A ?
c. What is the value of B ? Assume the time between successive high tides is 12.4 hours.
d. What is the physical meaning of C ?
4. Write a possible sinusoidal function in terms of both sine and cosine for each of the following graphs.
a.
c.
b. Interval given is
d.