Question 1202328
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A sinusoidal function has an amplitude of 8 units, ad period of 180, 
and a minimum at (0, -3). Determine the equation of the function.
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<pre>
Since this sinusoidal function has a minimum at x= 0, it tells us
that the pattern is  m-a*cos(bx)  without a phase shift,

where "m" is the midline,  "a" is the amplitude and "b" is the coefficient 
managing the period.


About the amplitude, we are given that a= 8;  hence, m = 8-3 = 5.


Since the period is 180 units, we have

    {{{b*(2pi)}}} = 180,

so  b = {{{180/(2pi)}}} = {{{90/pi}}}.


Thus and finally,  the function is  f(x) = {{{5 - 8*cos((90*x)/pi)}}}.    <U>ANSWER</U>
</pre>

Solved.