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Nadusha1986 [10]
3 years ago
7

Given:

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
Your question is very confusing but x=8 so just plug in 8 where you see X
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Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
Can someone please answer this question<br> Giving brainleist!
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katen-ka-za [31]
An integer is like -5,-4,-3,-2,-1,0,1,2,3,4...
all counting numbers plus 0 and negatives

so no fractions
so an an easmple of a rational number that is not an integer is any fraction a/b such that it doesn't sipmlify to an integer

examples
2/3
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X²=9 determine if x belongs to Q or belongs to Q dash​
Elis [28]

x = 3 is the answer can you pls add me brainliest answer

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2 years ago
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