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ratelena [41]
3 years ago
6

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

Mathematics
1 answer:
Natalka [10]3 years ago
4 0

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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PLZ HELP ILL MARK YOU BRAINLEST ‼️<br><br>a) 120°<br><br>b) 50°<br><br>c) 70°<br><br>d) 180°​
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Answer:

120°

Step-by-step explanation:

Add the 2 opposite angles to find the exterior angle.

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nata0808 [166]

Answer:

A = 900in²

Perimeter   120in

Using the formulas

A = a²

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Step-by-step explanation:

Solving for A:

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5 0
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Out of the three answers, which one is correct?<br> I would also appreciate an explanation
cricket20 [7]

Answer:

69

Step-by-step explanation:

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35 + x + (x+7) = 180

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Hope this helps!

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Solve the compound inequality: <br> 3≤6−3x&lt;15
DerKrebs [107]

<span>solve <span><span>3≤−3x+6<15</span><span>3≤−3x+6<15</span></span></span>

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