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olga nikolaevna [1]
3 years ago
7

What do the coefficients of n represent

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0
It’s-number of pairs. That’s my answer
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Determine the general solution of:<br><br> sin 3x - sin x = cos2x
SpyIntel [72]
Sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1  ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
              1     1     -1     -1
        1           1      2      1                z=1
-------------------------------------
              1     2      1      0
       -1         -1      -1                       z=-1
--------------------------------------
              1     1       0                       z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ    (180º+360ºK)   K∈Z


if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ   (90º+360ºK)   k∈Z

π/2 + 2kπ    U   π+2Kπ=π/2+kπ     k∈Z    ≈(90º+180ºK)

Answer: π/2 + Kπ    or     90º+180ºK          K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
6 0
3 years ago
HELP!!! Is the relationship a function?
Artyom0805 [142]

Answer:

No

Step-by-step explanation:

It is not a function because the x should never repeat the y can but not the x.

5 0
3 years ago
Read 2 more answers
Boden conjectures that in a right triangle, the sine of one acute angle is always equal
ruslelena [56]

Answer:

Boden's conjecture is correct

Step-by-step explanation:

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa.

A right triangle, has two acute angles.

The two acute angles are complementary

so

In any right triangle, the sine of one acute angle is equal to the cosine of the other acute angle

therefore

Boden's conjecture is correct

7 0
3 years ago
A group of randomly selected members of Mothers' Club were asked how many kids they have. The table below shows the results of t
Firdavs [7]

Answer:

Step-by-step explanation:

6 0
4 years ago
A company has two manufacturing plants with daily production levels of 5x+14 items and 3 x-5 items, respectively. The first plan
xxTIMURxx [149]

Answer:

2x+19

Step-by-step explanation:

The first is 5x+14

<em>The second is </em>5x-5

So 5x+14-(5x-5)=2x+19

{Simple Subtraction}

<em>I hope this helps you</em>

<em>:)</em>

7 0
3 years ago
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