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2 years ago

-4 + 3 + (-2) + 1 1/4 =

Mathematics

1 answer:

zloy xaker [14]2 years ago

8 0

The answer to this question is -1/4 or 0.25

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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

a dental company has rolls of floss that are 1872 in long they want to put the distance in yards on their labels what is the dis

Aleonysh [2.5K]

The answer is 52 yards

3 0

3 years ago

F(x) = x^2 - 4, X is greater/less than 0 (a) Find the inverse function of f. F^-1(x) =

Natali5045456 [20]

Step-by-step explanation:

f(x) = x² - 4

y = x²-4

x = y²-4

x + 4 = y²

$y = \sqrt{x + 4}$

7 0

2 years ago

A person suspects a standard number cube is not so standard. Another person rolls this cube 100 times, and it lands on a six 42

Ksju [112]

Answer:

The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.

A 6 being rolled 42 times and 33 times means that it is very likely not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.

3 0

3 years ago

Name the angle in four ways. Then classify the angle as acute,right,obtuse, or straight.

kirill115 [55]

Answer:

∡RST

∡S

∡TSR

∡4

this appears to be an obtuse angle

Step-by-step explanation:

∡RST

∡S

∡TSR

∡4

this appears to be an obtuse angle

5 0

2 years ago