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3 years ago

12

Write four decimals with the 4 digit in a different place in each --- ones tenths hundreds and thousandths.Then write a statemen

t that compares the value of the 4 digit in different decimals

1 answer:

Lana71 [14]3 years ago

6 0

Firstly there is no ones in those so
4.530
5.430
6.740
8.654

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Futhe Mathematics<br><img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

<em>D</em><em>e</em><em>r</em><em>i</em><em>v</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>c</em><em>o</em><em>s</em><em>²</em><em>x</em><em> </em><em>-</em><em> </em><em>s</em><em>i</em><em>n</em><em>²</em><em>x</em><em> </em><em>=</em><em> </em><em>c</em><em>o</em><em>s</em><em>2</em><em>x</em><em> </em><em>:</em><em>-</em>

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago

Simplify the following expression:<br><br> (4x+8) - 3(x+1)

Umnica [9.8K]

Answer:

x + 5

Step-by-step explanation:

$4x + 8 + (-3)(x) + (-3)(1)$
$4x + 8 -3x -3$
$(4x-3x) + (8-3)$
$x + 5$

Therefore, the answer is x + 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0

2 years ago

Read 2 more answers

What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and pas

FromTheMoon [43]

The answer is… D. 18

3 0

2 years ago

Which number line shows the solution to 1/4 + 1 < 5

alexira [117]

Answer:

The second line is the answer.

3 0

2 years ago

Ya+yv=t What is the solution for y

Gelneren [198K]

Answer:

y = $\frac{t}{a+v}$

Step-by-step explanation:

Given

ya + yv = t ← factor out y from each term on the left side

y(a + v) = t ( divide both sides by a + v )

y = $\frac{t}{a+v}$

3 0

2 years ago