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lana66690 [7]
3 years ago
5

Verify the identity by transforming the left-hand side into the right-hand side.

Mathematics
1 answer:
qaws [65]3 years ago
8 0
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1

Starting with the left:  Note that  cos²θ + </span><span>sin²θ = 1.
In the same way:    </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore                cos²3θ  = 1 - <span>sin²3θ
</span> From the top:  (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ

=  2/<span>sin² 3θ - 1;        But 1/</span><span>sinθ = csc</span><span>θ,  Similarly  </span>1/sin3θ = csc3θ

= 2 *(1/sin<span>3θ)²  - 1</span>
= 2csc²3θ  - 1.        Therefore  LHS = RHS.  QED.

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Ivenika [448]

Answer:

Calculate Mean Absolute Deviation (M.A.D)

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.Find the sum of the data values, and divide the sum by the number of data values.Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4 0
3 years ago
System of equations, special case infinitely many solutions?????
Mashcka [7]

One possible system is

1x + 3y = 4

2x + 6y = 8

Note how 2 is twice as large as 1, 6 is twice as large as 3, and 8 is twice as large as 4.

In other words, the second equation is the result of multiplying both sides of the first equation by 2.

1x+3y = 4

2*(1x+3y) = 2*4

2x+6y = 8

Effectively the two equations in bold are the same which produces the same line. The two lines overlap perfectly to intersect infinitely many times. An intersection is a solution.

4 0
3 years ago
Rewrite the expression 2(x + 5) using the Distributive Property.​
ehidna [41]

Answer:

2x + 10

Step-by-step explanation:

To expand (using the distributive property) <u>multiply</u> the number outside the bracket i.e. in this case '2', with the <u>values inside the brackets</u>.

So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.

So

2(x + 5)

= (2*x)+(2*5)

=2x+10

<em>extention note:</em> <u>be careful</u> when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.

an example

2(x-5)

= (2*x)+(2*-5)

=2x -10

Anyhow, I hope this helped!

5 0
2 years ago
Based off the table how long will it take to mow one lawn
weqwewe [10]
35 minutes for each lawn
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Now if you plug this rule into the next two numbers (245 and 7) and you divide them, you should get 35, and you do.

I hope I helped
Please make me brainliest
6 0
3 years ago
Read 2 more answers
Jessica sold girl scout cokies she sold 26 boxes.How many cases of 12 plus extra boxes does she need.
Westkost [7]

Answer:

Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes

Step-by-step explanation:

Number of boxes sold = 26

Cases of 12 plus extra boxes needed

Number of cases of 12 needed :

Number of boxes sold / 12

= 26 /12

= 2 remainder 2

Hence, Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes

6 0
2 years ago
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