1 year ago

Eight times the reciprocal of a number equals 2 times the reciprocal of 9. Find the number

Mathematics

1 answer:

vfiekz [6]1 year ago

7 0

Answer:

8 * 1/x = 1/9 *2

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Use Euler's formula to derive the identity. (Note that if a, b, c, d are real numbers, a + bi = c + di means that a = c and b =

storchak [24]

Answer with Step-by-step explanation:

We have to prove that

$sin 2\theta=2sin\theta cos\theta$ by using Euler's formula

Euler's formula : $e^{i\theta}=cos\theta+isin\theta$

$e^{i(2\theta)}=(e^{i\theta})^2$

By using Euler's identity, we get

$cos2\theta+isin2\theta=(cos\theta+isin\theta)^2$

$cos2\theta+isin2\theta=(cos^2\theta-sin^2\theta+2isin\theta cos\theta)$

$(a+b)^2=a^2+b^2+2ab, i^2=-1$

$cos2\theta+isin2\theta=cos2\theta+i(2sin\theta cos\theta)$

$cos2\theta=cos^2\theta-sin^2\theta$

Comparing imaginary part on both sides

Then, we get

$sin2\theta=2sin\theta cos\theta$

Hence, proved.

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2 years ago

Ling lives 2 miles from school. It took him 15 minutes to bike from school to home. The first half of the distance he biked at a

lisov135 [29]

1 mile at 12 m/h is .2 m/min
1 mile at .2 m/min (1/.2) = 5 min So the first mile took 5 minutes
To find how fast the second mile was:
You know it was 1 mile and it took 10 minutes
1/10=.1 m/min which is 6 m/h
The average speed is 6+12/2=9 m/h

Hope that helps. Feel free to ask any questions.

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1 year ago

Read 2 more answers

The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=5.6x. The installation fee i

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Answer:

the installation fee is $104.40

Step-by-step explanation:

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I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.

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