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ElenaW [278]
1 year ago
10

In which of the following intervals does the trigonometric inequality sec(x) < cot(x) always hold true.

Mathematics
1 answer:
Ray Of Light [21]1 year ago
8 0

The inequality for sec (x) < cot (x) is;  π/2 < x < π

<h3>How to express trigonometric inequality?</h3>

We are given that;

We want to find the intervals that the trigonometric inequality sec (x) < cot (x) always hold true.

This can also be expressed as;

1/cos (x) < 1/tan (x)

Now, this can happen only in the quadrant where tan (x) is negative and cos x is positive which is in fourth quadrant where;

π/2 < x < π

The inequality for sec (x) < cot (x) is;  π/2 < x < π

Read more about Trigonometric Inequality at; brainly.com/question/12094532

#SPJ1

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Solve y=f(x) for x . f(x)=23x+4 x= Question 2 Find the input when the output is 2. The input is .
Fantom [35]

Let's find f(x) = 2, which is essentially what the problem is asking, what x corresponds to an output of 2.


Let's solve below:

f(x) = 2

  • Setting up what we know

23x + 4 = 2

  • Substituting in 23x + 4 for f(x) (I'm not sure if this is the correct expression for f(x) due to formatting issues)

23x = -2

  • Subtract 4 from both sides to make a step to isolate x (what we are trying to find)

x = - \frac{2}{23}

  • Divide both sides of the equation by 23 to isolate x

Thus the input is \boxed{x = - \frac{2}{23}}.

4 0
3 years ago
8. Find the value of x so that line mis parallel to line l. (1 p<br><br> (3x+21)°<br><br> (4x-7)
dybincka [34]

Answer: The value of x is 28.

Step-by-step explanation:

Since line m is parallel to line l.

So, we assume that

(3x+21)° and (4x-7)° are corresponding angles.

And we know that , corresponding angles formed when a transversal cut the  parallel line are equal.

So, they must be equal to each other.

3x+21=4x-7\\\\21+7=4x-3x\\\\28^\circ=x

Hence, the value of x is 28.

6 0
3 years ago
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Greeley [361]
A
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3 0
2 years ago
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Someone plz explain!
ryzh [129]

Answer:

18° and 72°

Step-by-step explanation:

Complimentary angles form 90°

We have an angle (x) 4 times larger than the other (y).

Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.

7 0
3 years ago
A light bulb factory produces 922 light bulbs every hour. Approximately 3.34% of the light bulbs are defective, and do not work.
Nikitich [7]

Answer:

The value is  \sigma = 5.46  

Step-by-step explanation:

From the question we are told that

  The number of light produced in an hour is  n  =  922

  The proportion of the bulb that are defective is  p =  0.0334

  Generally given from the question that we should use binomial distribution it then means that the standard deviation is mathematically evaluated as  

           \sigma = \sqrt{ n  *  p  (1-p)}

=>         \sigma = \sqrt{ 922  *  0.0334 *  (1-0.0334)}

=>         \sigma = 5.46  

8 0
3 years ago
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