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3 years ago

Can someone help me find the slope of each set of ordered pairs?

Mathematics

1 answer:

Sonja [21]3 years ago

5 0

Answer:

3-(-3) / -15-(-5)

= 3+3/-15+5

=6 /-10

= -3 /5

Hope it helps You

Mark as brainliest

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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 does tan^2(x) mean

Sever21 [200]

Answer:

Step-by-step explanation:

When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.

tan^2(x) = (tanx)^2

6 0

2 years ago

What’s the answer I don’t understand it or know it.

fredd [130]

Answer:

I tried solving it and didn't get same exact numbers but I got 8.67 million people so it might be answer choice B.

7 0

2 years ago

What is the sum of the numbers 24+40 as the product of their gcf and another sum

AnnZ [28]

This is really conusing

8 0

3 years ago

What is the solution to the system of equations graphed below? y=x+3 y=3x+1

Mademuasel [1]

Answer:

(1, 4)

Step-by-step explanation:

y=x+3

y=3x+1

y=x+3

x+3=3x+1

x=3x-2

-2x=-2

x=1

y=1+3

y=4

8 0

3 years ago