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eduard
3 years ago
13

Prove that 1/1+sinA -1/1+sinA =2tanAsinA​

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Step-by-step explanation:

\frac{1}{1 +  \sin( \alpha ) }  \frac{1}{1 -  \sin( \alpha ) }  \\  \frac{1 -  \sin( \alpha ) + 1 +  \sin( \alpha )  }{(1 +  \sin( \alpha ))(1 -  \sin( \alpha ))  }  \\  =  \frac{2}{1 -  {sin}^{2} \alpha }  \\  \frac{2}{ {cos}^{2} \alpha  } = 2  \:  {sec}^{2}  \alpha

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photoshop1234 [79]

That would be a balance.

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4 years ago
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What coordinate expression represents the coordinates of any point after dilation by a scale factor of 2
neonofarm [45]

Answer: (x,y) → (2x,2y) .

Step-by-step explanation:

  • A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.

If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).

So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of 2:

(x,y) → (2x,2y) .

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3 years ago
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Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.
kiruha [24]

For the mode to be 6, there has to be at least two 6s.

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3 0
2 years ago
Given triangle QRS = triangle TUV, find the measure of the given angles and the lengths of the given sides.
Amiraneli [1.4K]

Answer:

A. 16; 36

Step-by-step explanation:

If the triangles are equal

sides QS = side TV

3v+1 = 5v-9

subtract 3v from each side

3v+1 -3v = 5v-3v-9

1 =2v-9

add 9 to each side

1+9 = 2v-9+9

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divide by 2

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QS = TV = 3v+1 = 3(5)+1 = 16

<r = <u

4n+4 = 5n-4

subtract 4n from each side

4n+4 -4n = 5n-4n -4

4 = n-4

add 4 to each side

4+4 =n-4+4

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4 years ago
What is the measure of angle 3?
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Answer:

c.45 degrees

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90 -180= 90

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3 years ago
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