Verify the identity.sin(x + y) cos(x - y) = sin x cos x + cos y sin y
What will be an ideal response?
sin(x + y) cos(x - y) = [sin x cos y + cos x sin y][cos x cos y + sin x sin y]
= sin x cos x cos2 y + cos y sin y sin2 x + sin y cos y cos2 x + cos x sin x sin2 y
= sin x cos x(cos2 y + sin2 y) + cos y sin y(sin2 x + cos2 x)
= sin x cos x + cos y sin y
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Solve the problem.Find the sum of the first 10 terms of the arithmetic sequence 88, 159, 230, . . . .
A. -3635 B. 4075 C. -2315 D. 3635
A bakery makes sweet rolls and donuts. A batch of sweet rolls requires 
of flour, 
eggs, and 
of sugar. A batch of donuts requires 
of flour, 
eggs, and 
alt="" style="vertical-align: -4.0px;" /> of sugar. Set up an initial simplex tableau to maximize profit.The bakery has 580 lb of flour, 660 dozen eggs, 
of sugar. The profit on a batch of sweet rolls is 
and on a batch of donuts is $62.00.
A. 
B. 
C. 
D. 
Without graphing the function, determine its amplitude or period as requested.y = -4 sin 5xFind the amplitude.
A. 
B. 
C. 4
D. 
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated. 
In what year did the least number of cyclists participate?
A. 2003 B. 2004 C. 2005 D. 2007