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Daniel [21]
3 years ago
7

Business. Computer sales are generally subject to seasonal fluctuations. An analysis of the sales of a computer manufacturer dur

ing 2015-2017 is approximated by the function
s (t) = 0.082 cos, + 0.393 1 < t < 12
where t represents time in quarters (t = 1 represents the end of the first quarter of 2015), and s (t) represents computer sales (quarterly revenue) in millions of dollars. Use a double-angle identity to express s (t) in terms of the cosine function
Enclose arguments of functions in parentheses. For example, sin (2x)
s(t) = __________
Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

The  expression of s(t) using double-angle identity is

                         s(t) = 0.434 + 0.041 cos (2t)

Step-by-step explanation:

From the question we are told that

    The  sales of a computer manufacturer during 2015-2017 is approximated by the function

         s(t) =  0.082cos^2(t) +  0.393 \ \ \ \  1 \le t \le 12

Now  applying  the double-angle to express s (t) in terms of the cosine function we have

           s(t) = 0.082 [\frac{1 + cos(2t)}{2} ] + 0.3931      Note  that  cos^2t  =  \frac{1 + cos(2t)}{2}  

          s(t) = \frac{0.082}{2} [1 + cos(2t) ] +  0.393

          s(t) = 0.041 [1 + cos(2t) ] +  0.393

        s(t) = 0.041  + 0.041 * cos(2t) + 0.393

        s(t) = 0.434 + 0.041 cos (2t)

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