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Harrizon [31]
3 years ago
8

Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and d

rag the numbers into numerical order.
4
,
5
,
5
,
7
,
9
,
10
,
10
,
10
,
11
,
12
,
13
,
15
4,5,5,7,9,10,10,10,11,12,13,15
Min: Q1: Med: Q3: Max:
Create the box plot by dragging the lines:
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
x
Mathematics
1 answer:
ratelena [41]3 years ago
3 0

sorry

look im trying to finish a challange u need premium if your going toask that big of a quietion my dude/dudet

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Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)
masha68 [24]
\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad\qquad 
sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad  1+tan^2(\theta)=sec^2(\theta)\\\\\\
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\\\\
-------------------------------\\\\
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-------------------------------\\\\

\bf \textit{so, let's do the left-hand-side}\\\\
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\\\\\\
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\\\\\\
cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x)
\\\\\\
cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)}
\\\\\\
cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}
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