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alisha [4.7K]
3 years ago
13

What is the domain of y=cot x?

Mathematics
1 answer:
MissTica3 years ago
5 0

We have to find the domain of y = cotx

We know that cotx = cos x / sinx

And also when sinx becomes zero cotx becomes undefined

And again we know that value of cosx and sinx can be between -1 to 1

But value of cotx can lie in between -∞ to +∞

Just for example cot30 is cos30 / sin30

= √3/2/1/2 = √3

Therefore domain of cotx is x

x ∈ R , x ≠ πn for any integer n

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When Sally was a Freshman, her soccer team had 13 players. By her senior year, Sally’s soccer team grew to 17. What is the perce
ra1l [238]

Answer:

about 31 percent

Step-by-step explanation:

5 0
3 years ago
Pls help find shaded area
Pavlova-9 [17]
<h3>Exact area = 12pi - 9*sqrt(3)  square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>

==========================================================

Work Shown:

Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure

A = area of northern sector (you can think of it as a pizza slize)

A = (angle/360)*pi*r^2

A = (120/360)*pi*6^2

A = 12pi

B = area of triangle

B = (1/2)*side1*side2*sin(included angle)

B = (1/2)*6*6*sin(120)

B = 18*sqrt(3)/2

B = 9*sqrt(3)

C = area of shaded region

C = A - B

C = 12pi - 9*sqrt(3)  .... exact area

C = 22.1106545749577 ... use a calculator to get the approximate area

6 0
3 years ago
the height of the triangle shown can be found using the expression 48 divide by b ,where b is the base of the triangle what is t
Marrrta [24]
The height of the triangle is 48/b or 48 over b. That's all I can tell you with the information given.

5 0
3 years ago
Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9. Wit
ryzh [129]

There are 90 different identification numbers possible.

<h3>What are the permutation and combination?</h3>

In terms of mathematical concepts, “permutation” and “combination” are related to each other.

The combination is the counting of selections that we make from n objects.

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9.

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are;

10 × 10 = 100 total possible PINs.

Now, because you can't use the same number twice, we subtract 10 from 100 because there are 10 numbers that can match themselves.

100 -10 =90

Hence, there are 90 different identification numbers possible.

Learn more about combination here;

brainly.com/question/24138361

#SPJ2

5 0
2 years ago
Read 2 more answers
Find g(4x)<br> g(x)=x²-4
7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

3 0
2 years ago
Read 2 more answers
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