The directions say Evaluate Each Expression: |-2.3|.

Mathematics

1 answer:

Nataly [62]3 years ago

8 0

| -2.3 | = 2.3

the absolute value of any number is positive, even if it says negative

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Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)

masha68 [24]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad\qquad 
sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad 1+tan^2(\theta)=sec^2(\theta)\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}
\qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\
-------------------------------\\\\
cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)\\\\
-------------------------------\\\\$

$\bf \textit{so, let's do the left-hand-side}\\\\
cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)]
\\\\\\
cot(x)[1^2+2tan^2(x)+tan^4(x)]
\\\\\\
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\\\\\\
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\\\\\\
cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}$

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3 years ago

Please help is the perimeter rational or irrational

ASHA 777 [7]

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The perimeter is a rational number.

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3 years ago

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34kurt

Answer:

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weeeeeb [17]

Answer:

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Step-by-step explanation:

I think that's what you're looking for, you just distribute the 2x to both of the numbers in the parathesis

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago