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seropon [69]
3 years ago
6

Write sin3xCos2x + cos3xsin2x as a single trigonometric function

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0
For any angles formula is:
sin(a+b)=sinαcosβ+cosαsinβ
In our exercise :
α=3x β=2x
sin3xcos2x+cos3xsin2x=sin(3x+2x)=sin(5x)
Result is : sin5x
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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Bx%7D%20%2B1%7D%7Bx-%5Csqrt%7Bx%7D%20%2B1%7D" id="TexFormula1" title="\frac
zubka84 [21]

Answer:

Step-by-step explanation:

\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\

8 0
3 years ago
Marjorie has 28 feet of trim to use as edging on the rectangular blanket she wants to make what is the length and width of two b
Natasha2012 [34]
336 you take 28 x 12
7 0
3 years ago
You want the billboard to have an area of 144 ft. 1. What do you know about the height and the width of the billboard?​
stepladder [879]

Answer: The height and the width is a number that would be multiplied by itself like 5x5=25. The answer to this question would be 12 as the width and the height.

Step-by-step explanation:

5 0
3 years ago
How much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon
aliina [53]

Answer:

13.9188 dollars

Step-by-step explanation:

1.1599 * 12 = 13.9188

8 0
3 years ago
Read 2 more answers
Find the missing factor 8b^2+7b-1=(b+1)()
shusha [124]
8b^2+7b-1=8b^2+8b-b-1=8b(b+1)-1(b+1)=(b+1)(8b-1)
7 0
4 years ago
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