2 years ago

A question about the sequence.

Mathematics

1 answer:

Ratling [72]2 years ago

7 0

Not enough information

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which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x

Natalka [10]

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

$\csc(x) = \dfrac{1}{\sin(x)}$

which is undefined at

$\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}$

$\sec(x) = \dfrac{1}{\cos(x)}$

which is undefined at

$\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}$

$\tan(x) = \dfrac{\sin(x)}{\cos(x)}$

which is undefined at

$\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}$

$\cot(x) = \dfrac{\cos(x)}{\sin(x)}$

which is undefined at

$\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}$

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2 years ago

Please help with this math question picture is shown

maksim [4K]

Answer:

-20 gallons per minute

Step-by-step explanation:

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3 years ago

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WITCHER [35]

Answer:

m∡2 = 90°

Step-by-step explanation:

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3 years ago

It took the carriage 2.5 hours to travel 20 miles. H ow long will it take for the carriage to travel in 12 miles

Tomtit [17]

$\bf \begin{array}{ccll}
hours&miles\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2.5&20\\
h&12
\end{array}\implies \cfrac{2.5}{h}=\cfrac{20}{12}\implies \cfrac{2.5\cdot 12}{20}=h$

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katovenus [111]

The correct answer is A. 2cm
18 2cm
---- = ----
45 5cm

hope this helps

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3 years ago

A question about the sequence.​

A question about the sequence.