All categories

4 years ago

Anyone help please!!!!

Mathematics

2 answers:

VikaD [51]4 years ago

7 0

cos(a-B)-cos(a+B)
cosucosv - sinusinv = cos(u+v)
cosucosv + sinusinv = cos(u-v)

cos(a-B)-cos(a+ B) = cosa cosB + sina sinB - (cosa cosB - sina sinB)= cosa cosB + sina sinB - cosacosB + sinb sinB= 2 sina sinB

Andre45 [30]4 years ago

6 0

We are to verify the identity:

cos(α-B)-cos(α+B) = 2 sinα sinβ

Left hand side = cos(α - B)-cos(α + B)

= cosα cosβ + sinα sinB - (cosα cosB - sinα sinβ)

= cosα cosβ + sinα sinB - cosα cosB + sinα sinβ)

= sinα sinβ + sinα sinβ

= 2 sinα sinβ

= Right Hand side

You might be interested in

Find the probability of each event. Answer IN FRACTION form.

IrinaK [193]

Answer:

So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.

So as you said, 12 choose 7 = 792

Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.

So to choose 3 real from 5 is 5 choose 3 = 10

And to choose 4 fake from 7 is 7 choose 4 = 35

3x10/792= 350/792= 175/396

5 0

4 years ago

The answer to 15ft long and 8ft wide

g100num [7]

The answer to that will be 23

7 0

4 years ago

A force F=-2i+j+k acts at point A(1,5,1) on a solid which is free to turn about a fixed point Q(-1,2,1). Find the torque exerted

DerKrebs [107]

The torque exerted by the force on the body is $\vec \tau = 3\,\hat{i}-2\,\hat{j} + 8\,\hat{k}$ .

Vectorially speaking, the torque exerted ( $\vec \tau$ ) by the force on the body ( $\vec F$ ) is resulted from this expression:

$\vec \tau = \vec r_{QA} \times \vec F$ (1)

Where:

$\vec r_{QA}$ - Vector distance between points A and Q.
$\vec F$ - Vector force exerted at point A.

If we know that $\vec r_{QA} = (2, 3, 0)$ and $\vec F = (-2, 1, 1)$ , then the torque is:

$\vec \tau = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\2&3&0\\-2&1&1\end{array}\right|$

$\vec \tau = (3, -2, 8)$

The torque exerted by the force on the body is $\vec \tau = 3\,\hat{i}-2\,\hat{j} + 8\,\hat{k}$ .

To learn more on torque, we kindly invite to check this verified question: brainly.com/question/3388202

8 0

2 years ago

The jogging track at Francine’s school is 3/4 mile long. Yesterday Francine completed two laps on the track. If she ran 1/3 of t

Galina-37 [17]

I dont know but mabye is 2/3

7 0

4 years ago

Read 2 more answers

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the sp

adoni [48]

Answer:

The null hypothesis is $H_0: \mu = 4.1$

The alternate hypothesis is $H_a: \mu \neq 4.1$

Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, $H_0: \mu = 4.1$

If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is $H_a: \mu \neq 4.1$

5 0

3 years ago