Page 57 - The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007

Sample problem: The relationship between the height above the ground of a person rid- ing a Ferris wheel and time can be modelled using a sinusoidal function. Describe the effect on this function if the platform from which the person enters the ride is raised by 1 m and if the Ferris wheel turns twice as fast.
3.5 pose problems based on applications involving a sinusoidal function, and solve these and other such problems by using a given graph or a graph generated with technology from
a table of values or from its equation
Sample problem: The height above the ground of a rider on a Ferris wheel can be modelled by the sinusoidal function
h(t) = 25 sin(3(t – 30)) + 27, where h(t) is
the height, in metres, and t is the time, in seconds. Graph the function, using graphing technology in degree mode, and determine the maximum and minimum heights of the rider, the height after 30 s, and the time required to complete one revolution.
TRIGONOMETRIC FUNCTIONS
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