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raketka [301]
3 years ago
11

Describe the relationship between the domain of an inverse sine function and the range of a sine function

Mathematics
2 answers:
Westkost [7]3 years ago
8 0

Answer:

The answer is that they are both equal.

Step-by-step explanation:

Ne4ueva [31]3 years ago
5 0

Answer: The answer is both are same.


Step-by-step explanation:  We are given to describe the relationship between the domain of an inverse sine function and the range of a sine function.

Let

y=\sin x~~\Rightarrow x=\sin^{-1}y.

We know from Trigonometry that the domain and range of sine function are

Domain~~~~~~~~~~~~~~~~~~~~~~~~~(-\infty< x

Also, the domain and range of inverse sine function is given by

Domain~~~~~~~~~~~~~~~~~~~~~~~~~(-1\leq y\leq 1)\\\\Range~~~~~~~~~~~~~~~~~~~~~~~~~~~~(-\dfrac{\pi}{2}\leq y\leq \dfrac{\pi}{2}).

See the attached figures for more understanding.

Thus, it is clear from the explanation that the range of sine function and the domain of inverse sine function are same and it is equal to [-1, 1]


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masha68 [24]

Step-by-step explanation:

I think the answer is 3x square multiplied by 1

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3 years ago
4 times the measure of the complement of an angle is equal to 2/3 the measure of the original's angles's supplement. what is the
scoundrel [369]

Answer:

72 degrees.

Step-by-step explanation:

If the angle is x degrees its complement is 90-x degrees and it's supplement is 180-x degrees.

4(90-x) = 2/3(180 - x)

360 - 4x = 120 - 2/3 x

360 - 120 = -2/3 x + 4x

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240 = 10/3 x

x = 240 * 3/10

x = 72 degrees.

7 0
2 years ago
A map of a park says its scale is 1 to 100. What does that mean?
Alex777 [14]

A scale is a term that refers to the <em>representative fraction</em> for comparing the <u>original</u> length and <u>image</u> length of a given <u>object</u>. It means implies that every 1 unit on the <u>drawing</u> is equal to <u>100</u> units on the <u>park</u>.

A <em>scale</em> is a term that can be referred to as the <em>representative fraction</em> that compares the <u>original</u> length and <u>image</u> length of a given <em>object</em>. Types of <u>scale</u> include enlarged scale, reduced scale, and real scale.

  • Enlarged scale is a <u>scale</u> that is used when the <u>size</u> of a given <em>object</em> is to be <em>increased</em>.
  • <em>Reduced scale</em> is used when the <u>size</u> of a given <u>object</u> is to be <em>decreased</em>.
  • <u>Real scale</u> implies the <em>exact size</em> of a given <u>object</u>.

<u>Scale</u> can be expressed as;

Scale = \frac{length on drawing}{original length}

Thus a <em>scale</em> has no unit.

Therefore, the given question <em>implies</em> that every 1 unit on the <u>drawing</u> is equal to 100 units on the <u>original</u> park. Thus it is a <em>reduced scale</em>.

For more clarifications on a scale drawing, visit: brainly.com/question/23209981

#SPJ1

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alexandr402 [8]
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What set of ordered pairs represents y as a function of x
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It think it would be F(x)
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