The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).
<h3>What are the trigonometric identities?</h3>
We can calculate with the help of one of the trigonometric identities;
sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
WE have given
sin (10x) cos (7x)
Here, A = 10x
B= 7x
So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
Learn more about trigonometric ratios here:
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Answer:
Hope it helps
Step-by-step explanation:
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Answer:
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Answer:
720 copies must be sold to break even
Step-by-step explanation:
The break even point is the point where the revenue from sales equals the total cost.
The total cost can be expressed as;
Total cost=Initial costs+(cost per book×number of books made)
where;
Initial cost=$864
Cost per book=$0.80
Assume number of books made=n
replacing;
Total cost=(864)+(0.80×n)=$864+0.8 n
Total cost=0.8 n+864...equation 1
The total revenue from the book sale can be expressed as;
Total revenue=Price per book×number of books sold
where;
Price per book=$2
number of books sold=n
replacing;
Total revenue=(2×n)=2 n...equation 2
Equate equation 1 to equation 2
0.8 n+864=2 n
2 n-0.8 n=864
1.2 n=864
n=864/1.2
n=720
720 copies must be sold to break even
X= 8.585m and 12m
Cos 45x12= 8.585
Tan45x12=12