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3 years ago

CAN SOMEBODY PLS HELP ME???????? WORTH 30 points

Mathematics

2 answers:

defon3 years ago

7 0

Answer:

I think the answer is 8

Step-by-step explanation:

Anna [14]3 years ago

5 0

10 if your counting the ones inside to.

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Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

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

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

What is the opposite of |-6|

kykrilka [37]

Answer:

-6

Step-by-step explanation:

the answer of |-6|

is 6 if we're gonna talk about the opposite it will be negative

3 0

3 years ago

Read 2 more answers

How much is 5.802 less than 74.14

Wewaii [24]

Answer:

68.338

Step-by-step explanation:

to know how much is less than we have to substract

74.14-5.802=68.338

4 0

3 years ago

Determine if the two expressions are equivalent and

boyakko [2]

9514 1404 393

Answer:

yes. Commutative Property of Addition

Step-by-step explanation:

The commutative property of addition tells you that the order of the addends is immaterial. These expressions are equivalent.

6 0

3 years ago

Factor Completely: 2x2 − 18

tangare [24]

To factor the given function, find a term that is divisible by both terms. For this problem, the factor would be 2, since 2x^2 and -18 are both divisible by 2.

2(x^2 - 9)

You could further factor out x^2 - 9 because it is factorable by (x - 3) and (x + 3). Thus, it would be

2(x -3)(x+3)

3 0

3 years ago

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