Business. Computer sales are generally subject to seasonal fluctuations. An analysis of the sales of a computer manufacturer during 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) = __________

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okpalawalter8 okpalawalter8 · Answer 1 · 2020-07-14T03:33:57+02:00

Answer:

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

[tex]s(t) = 0.434 + 0.041 cos (2t)[/tex]

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

[tex]s(t) = 0.082cos^2(t) + 0.393 \ \ \ \ 1 \le t \le 12[/tex]

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

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

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

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

[tex]s(t) = 0.041 + 0.041 * cos(2t) + 0.393[/tex]

[tex]s(t) = 0.434 + 0.041 cos (2t)[/tex]