3 years ago

Write sin3xCos2x + cos3xsin2x as a single trigonometric function

1 answer:

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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zubka84 [21]

Answer:

Step-by-step explanation:

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

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Natasha2012 [34]

336 you take 28 x 12

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stepladder [879]

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Step-by-step explanation:

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How much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon

aliina [53]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers