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ELEN [110]
3 years ago
9

Complete the identity. cos (alpha - beta)/cos alpha cos beta = ?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
5 0
\frac{cos(a-b)}{cos(a)cos(b)} =  \frac{cos(a)cos(b)+sin(a)sin(b)}{cos(a)cos(b)} = 1+ \frac{sin(a)sin(b)}{cos(a)cos(b)} =1+tan(a)tan(b)

Note that I used these identities :cos(a-b)=cos(a)cos(b)+sin(a)sin(b) and  tan(a)= \frac{sin(a)}{cos(a)}
MrRa [10]3 years ago
3 0
I belive the answer to be b
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vampirchik [111]

Step-by-step explanation:

3(x+4) ≤ 36

3x + 12 ≤ 36

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x ≤ 8

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What is the value of -2/5 / 3/4?
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-8/15

Step-by-step explanation:

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Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2
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Rearrange the given equation in slope intercept form
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Question 13
ArbitrLikvidat [17]

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

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3 years ago
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