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tester [92]
2 years ago
8

Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

Mathematics
1 answer:
ivanzaharov [21]2 years ago
5 0

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

<h3>How to simplify Trigonometric Functions?</h3>

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

Read more about Trigonometric functions at; brainly.com/question/6904750

#SPJ1

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The sum of two consecutive integers is -95. Find the integers. State the unknov-
kvasek [131]

Let the unknown consecutive integers be x, x+1

x+x+1=-95

2x+1=-95

2x=-95-1

2x=-96

x=-96/2

x=-48

x=-48

x=-48x+1=-48+1=-47

-48 and -47 are the two consecutive integers

Please mark as Brainliest

8 0
2 years ago
How does graphing linear inequalities differ from graphing linear equations?​
Ivan

Explanation:

When the inequality symbol is replaced by an equal sign, the resulting linear equation is the boundary of the solution space of the inequality. Whether that boundary is included in the solution region or not depends on the inequality symbol.

The boundary line is included if the symbol includes the "or equal to" condition (≤ or ≥). An included boundary line is graphed as a solid line.

When the inequality symbol does not include the "or equal to" condition (< or >), the boundary line is not included in the solution space, and it is graphed as a dashed line.

Once the boundary line is graphed, the half-plane that makes up the solution space is shaded. The shaded half-plane will be to the right or above the boundary line if the inequality can be structured to be of one of these forms:

  • x > ...   or   x ≥ ...   ⇒ shading is to the right of the boundary
  • y > ...   or   y ≥ ...   ⇒ shading is above the boundary

Otherwise, the shaded solution space will be below or to the left of the boundary line.

_____

Just as a system of linear equations may have no solution, so that may be the case for inequalities. If the boundary lines are parallel and the solution spaces do not overlap, then there is no solution.

_____

The attached graph shows an example of graphed inequalities. The solutions for this system are in the doubly-shaded area to the left of the point where the lines intersect. We have purposely shown both kinds of inequalities (one "or equal to" and one not) with shading both above and below the boundary lines.

6 0
3 years ago
Hey can yall please help me its 4'1 minuse 1'10​
neonofarm [45]
4’1= 4 feet and 1 inch
12 inches= 1 ft.
12(4)= 48 ; 48+ 1inch = 49 inches
1’10= 1 foot and 10 inches
1(12)= 12 + 10 = 22
49-22= 27 inches !
7 0
3 years ago
Read 2 more answers
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (fºg)(10)?
jolli1 [7]

Answer:

2x - 3..... 2*10 - 3 = 17

Step-by-step explanation:

Fog) = g(fx)) = f(x) - 4 => 2x - 3

6 0
3 years ago
Read 2 more answers
The sum of two consecutive mile markers on the interstate is 417417. Find the numbers on the markers
noname [10]

Hello from MrBillDoesMath!

Answer:

The first marker is labeled 208708; the second (consecutive) one 208709                  


Discussion:

Call the first mile marker "m". Then

m + (m+1) = 417417            => combine like terms

2m + 1 = 417417                 => subtract 1 from both sides

2m =  417416                     => divide both sides by 2

m  = 417416/2  = 208708                  

Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.

Thank you,

MrB

5 0
3 years ago
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