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rjkz [21]
3 years ago
15

Tan(arcsin(x)) and its domain ...?

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0
- \frac{\pi}{2} < \arcsin{x} < \frac{\pi}{2} &#10;\\&#10;\\\sin(- \frac{\pi}{2}) < \sin(\arcsin{x}) < \sin(\frac{\pi}{2} )&#10;\\&#10;\\-1 < x < 1
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What is the answer to any of these
seraphim [82]

Answer:

1.The chosen topic is not meant for use with this type of problem. Try the examples below.

(

6

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−

3

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(

6

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4

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9

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7 0
2 years ago
Which of the following equations shows "twice a number is eighteen?"
S_A_V [24]

I don't see the answer choices, but 2 equations you could use to get eighteen would be:

9 × 2 = 18

     OR

9 + 9 = 18

See? Twice a number is eighteen. You can use any of my equations to get eighteen

↑   ↑   ↑ Hope this helps! :D

3 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
What is 1 out of 7 + 1/2 plz help
scoray [572]
Answer: 9/14

Explanation. First, you have to find the least common denominator. The least common denominator is the lowest number you can use on the denominator to create a set of equivalent fractions

7 and 2 can both go into 14
Whatever number you use to multiply to equal 14, you do the same to the top.
It would look like this.

2/14 + 7/14
Then you add.

2/14 + 7/14= 9/14
You can’t simplify this fraction so this is your answer. Hope this helped!
7 0
3 years ago
What is the ordered pair after this point is reflected across the y-axis? 4,2
Zepler [3.9K]

Answer:

-4,2

Step-by-step explanation:

a reflection across the y axis means the y values stay the same and the x values change sign

8 0
2 years ago
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