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Temka [501]
2 years ago
8

Which trigonometric functions are negative in the fourth (IV) quadrant?

Mathematics
1 answer:
anzhelika [568]2 years ago
7 0
<h3>Answers are: sine, tangent, cosecant, cotangent</h3>

Explanation:

On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.

Since sine is negative, so is cosecant as this is the reciprocal of sine

csc = 1/sin

In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.

Because tangent is negative, so is cotangent.

The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.

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Two numbers have a distance of 5 units from 0 on a number line. The numbers can be graphed on the number line as points A and B.
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Show that 4128 0012 4389 0110 is an invalid VISA number card
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3 years ago
The table shows the sizes, in square feet, of a sample of eight houses from a neighborhood. Suppose that, after you have calcula
dexar [7]
The question is incomplete: the table and the answer choices are missing.

This is the table: 

House     1       2         3          4         5              6           7           8
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</span>
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Explanation:


You have to calculate or analyze  every statistics before and after.

A) Máximun.

Before correcting the error, the maximum was 12,985 (the measure of the house 5).

After correcting the error, the new maximum is 17,985 (the corrected measure of house 5). So, this changed 17,985 - 12,985 = 5,000 (square feet).

B) Mean

<span>Increase in the mean = change in the measure / number of houses = 5,000 / 8 = 625 square feet
</span><span>
</span><span>
</span><span>C) Median
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</span><span>
</span><span>It is the measure of the central data, after they are ordered.
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</span>Since, the error only modified the maximum value, the median did not change.

With the error and without the error it is the average of the two central measures: [1288 + 1500] / 2 = 1,394 square feet.

Then, this measure did not change, and this is the right answer.


D) Range:

The range is the difference between the maximum and the minimum data.

Since, the maximum data changed, the range changed.
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