3 years ago

Which counterexample proves this statement is FALSE?

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

Answer:

The answer is C.

Step-by-step explanation:

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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

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

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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A basketball player made 77 out of 100 attempted free throws. What percentage of free throws was made?

Sloan [31]

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77%

Step-by-step explanation:

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Which value of x make the equation 1.25(4x − 10) = 7.5 true?

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Answer:

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Step-by-step explanation:

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Given f(x)=14(5−x)2 what is the value of f(11)?

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I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

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