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slega [8]
3 years ago
10

Sec (a) + tan (a) = sec (a) – tan (a)

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer:

a = π n for n element Z

Step-by-step explanation:

Solve for a:

sec(a) + tan(a) = sec(a) - tan(a)

Subtract sec(a) - tan(a) from both sides:

2 tan(a) = 0

Divide both sides by 2:

tan(a) = 0

Take the inverse tangent of both sides:

Answer:  a = π n for n element Z

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All it is asking is to plug the given x values into the equation (which are 0, 2, 4) and see what you get for y.
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3 years ago
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2 years ago
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Step-by-step explanation:


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3 years ago
Which of the pairs of events below is mutually exclusive?
Nady [450]

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

3 0
2 years ago
For a set of data, r = 0.27. Which is true about the correlation of the variables? The variables have no correlation. The variab
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