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insens350 [35]
3 years ago
14

Simplify the expression as much as possible. sin(2x)cos(x)

Mathematics
1 answer:
mart [117]3 years ago
7 0
For this kind of exercise you need to know the trigonometric identities.
In this case:
--->sin(2a)=2(sen(a)*cos(a))
(That comes from sin(a+b)=sin(a)*cos(b)+cos(a)*sin(b), since 2a is just a sum a a+a)
--->sin^2(a)+cos^2(a)=1
That way you can start transforming things and simplifying.
By doing that I got to: 2sin(x)*cos^2(x) (or 2sin(x)-2sin^3(x))
I attached the steps I followed as an image (I made a mistake on paper at the very end, that's a multiplication not a substraction, it's 2sin(x)*cos^2(x))

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10 6 4 15 6 8 6 15 4 find the median range of the data if necessary round to the nearest tenth
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Reorder from least to greatest.

4, 4, 6, 6, 6, 8, 10, 15, 15

                /\

                 |

Median is the middle number.

This would be 6.

---

hope it helps

8 0
2 years ago
In a town of 40,000 people, it is expected 41.9% will watch the Súper bowl. How many people in the town will watch the Súper bow
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Step-by-step explanation:

3 0
3 years ago
It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho
Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Hi

Leon do the work in 17 hours that means the rate of his work is \frac{1}{17} work/hr, so he do \frac{2}{17} of the work in two hours, therefore Michael do the other \frac{15}{17} of the work, thus Michael rate will be \frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour.

So it takes Michael 1h+\frac{4}{17}h to complete the work, or \frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs

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8 0
3 years ago
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skelet666 [1.2K]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
How to solve -x+4=-2x-6
Feliz [49]
Regroup terms

Add 2x to both sides 

Simplify 4 - x + 2x to 4 + x

subtract 4 from both sides

subtract -6 - 4.

Answer: x = -10
3 0
3 years ago
Read 2 more answers
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