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givi [52]
3 years ago
10

Which measure of center best represents the following

Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

Median since the numbers are arranged in an ascending order.

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Verify the identity tan(???? − ????) = tan(????)−tan(????) / 1+tan (????) tan(????) for all (???? − ????) ≠ ???? / 2 + ????n.
Anna11 [10]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following identity:

tan(x-y) = \frac{tan x - tan y}{1 + tan x tan y}

So we need to begin with the definition of tan, we know that tan x = \frac{sin x}{cos x} and we have this:

tan (x-y) = \frac{sin(x-y)}{cos(x-y)}   (1)

We also have the following identities:

sin (a-b) = sin a cos b - sin b cos a

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

And if we apply those identities into equation (1) we got:

tan(x-y) = \frac{sin x cos y - sin y cos x}{sin x sin y + cos x cos y}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos x cos y} like this:

tan(x-y) = \frac{\frac{sin x cos y}{cos x cos y} - \frac{sin y cos x}{cos x cos y}}{\frac{sin x sin y}{cos x cos y} + \frac{cos x cos y}{cos x cos y}}

And if we simplity we got:

tan(x-y) = \frac{tan x - tan y}{tan x tan y +1 }

And with that we complete the proof. And that appies for all (x-y) \neq \frac{\pi}{2} +n\pi

6 0
4 years ago
What is the product in lowest terms?
Nataly_w [17]
In my opinion I think it's letter d
3 0
3 years ago
Read 2 more answers
Given the system:
Ilia_Sergeevich [38]

Answer:

2 & the second part is one unique solution

Step-by-step explanation:

on edge2020

8 0
3 years ago
Can someone help me please
Arte-miy333 [17]

Soryy about this late.

I think the Answer should be :36π yd

5 0
3 years ago
Read 2 more answers
How do I find the domain?
chubhunter [2.5K]
Domain is the set of numbers you can use for the equaiton

remember you can't divide by zero, or take the squaer root of a negtive number (we don't have sqrts in this quesiton so don't worry about last one)

so you can't divide by 0
domain =all real number except those that make divide by zero

where is that?
x-1=0
x=1

when x=1, we can't allw that

domain=all real numbers except 1
7 0
3 years ago
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