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Katarina [22]
3 years ago
11

Simplify sin θ / square root 1 - sin^2 θ

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Recall that

\cos^2\theta+\sin^2\theta=1

which means

\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\sqrt{\cos^2\theta}}

Now, \cos\theta could be positive or negative, which means \sqrt{\cos^2\theta}=|\cos\theta|. If we specifically knew the sign of \cos\theta was positive, then we can simplify and write

\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\cos\theta}=\tan\theta

or if it's negative,

\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{-\cos\theta}=-\tan\theta

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A study was conducted to determine whether a new highway should be built next to the river in a town. Half of the residents in t
Tamiku [17]

Answer:

The sampling of this study is bias

Step-by-step explanation:

Sampling bias is a bias that is gotten during sampling where some members of the population have a lower representation or probability than others in the sample pool. In this case, only the residents living near a river was sampled, and because they are subjected to relatively the same conditions (living near a river), the result of the study will not be a true representation of every member of the town because the people living far away from the river will most likely have different opinions due to their different environmental exposure than the people living close to the river. The correct thing to have been done for the result to be reliable and accurate will be to sample at random, people in the two both close to and far away from the river, or to sample equal number of people each living close to and far away from the river.

Another example of sampling bias is a study to determine the effect of alcohol on pregnancy in women in America, and only pregnant white women who drink are sampled, leaving out Black or Hispanic  women, what ever result gotten in the study may hold true for white women in America, but it may not hold true for every woman in America

8 0
3 years ago
A builder purchases 600 bricks for a new residential construction. The dimensions of each brick are 5.1 cm by 10.2 cm by 20.3 cm
Blababa [14]
<h3>Answer:</h3>

1165.83 kg

<h3>Explanation:</h3>

The total mass is the product of volume of one brick, the number of bricks, and the density. For this problem, it is convenient to use dimensions in meters.

(0.051\,m)(0.102\,m)(0.203\,m)(600)\dfrac{1840\,kg}{m^3}=(0.6336036\,m^3)\dfrac{1840\,kg}{m^3}\\\\=1165.83\,kg

6 0
3 years ago
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melamori03 [73]

Answer:

A

Step-by-step explanation:

1/2f

4 0
3 years ago
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If f(x) = 2x+4, which of the following is the inverse of f(x)?
creativ13 [48]

Answer:

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

Step-by-step explanation:

The given function is

f(x) = 2x + 4Let

y = 2x + 4

Interchange x and y.

x = 2y + 4

Solve for y,

x - 4 = 2y

Divide both sides by 2

y =  \frac{x}{2}  - 2

Therefore;

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

3 0
2 years ago
Help me out it was hard
Nuetrik [128]
The answer is: 2097
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3 years ago
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