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2 years ago

{ = {even numbers

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

3 0

Step-by-step explanation:

the members of B are 4,8,12

the members of C are 0 2 3

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Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum

otez555 [7]

<u>Step-by-step explanation:</u>

To prove:

$\cos 3x=\cos^3x-3\sin^2 x\cos x$

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

Taking the LHS:

$\Rightarrow \cos 3x=\cos (x+2x)$

Using identity 1:

$\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x$

Using identities 2 and 3:

$\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x$

As, LHS = RHS

Hence proved

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3 years ago

A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end

lutik1710 [3]

Answer would be D

, you need to divide the total distance by the spacing to find total markers

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3 years ago

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cestrela7 [59]

Answer:

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Step-by-step explanation:

You have to use simultaneous linear equation as there are 2 equations given

use the subtitution method as what I've shown above

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Stay safe!

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3 years ago

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2 years ago

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Answer:

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2 years ago