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HACTEHA [7]
3 years ago
11

What is the domain of f(x) = cos(x)?

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
5 0

Answer:

D) Set of all real numbers

Step-by-step explanation:

nika2105 [10]3 years ago
4 0

Option D: The set of all real numbers

Explanation:

Given that the function f(x)=cos (x)

We need to determine the domain of the function.

The domain of the function is the set of all input values for which the function is real and well defined.

In other words, the domain of the function is the set of all independent x - values of the function.

Thus, the function cos (x) is real and well defined in the interval (-\infty, \infty)

Hence, the function cos (x) is real and well defined for all real numbers.

Therefore, the domain of the function f(x)=cos (x) is the set of all real numbers.

Hence, Option D is the correct answer.

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8 Darpan runs a distance of 12 km and then cycles a distance of 26 km. His running speed is x km/h and his cycling speed is 10 k
Sonja [21]

The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x  + 26/10x

<h3>What is speed?</h3>

Speed can be calculated as the ratio of distance traveled to the time taken

Darpan runs a distance of 12 km and then cycles a distance of 26 km.

Total distance = 12 + 26 = 38km

The running speed is x km/h

A = x

The cycling speed is 10 km/h faster than his running speed

B = 10x

He takes a total time of 2 hours and 48 minutes.

So, the total time he takes

Time = Distance x speed

2.48 = 12/x  + 26/10x

10x(2.48) = 120 + 26

24.8x = 146

x = 5.8

Learn more about speed here;

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8 0
2 years ago
Help answer if u know
Setler [38]

Answer:

b = 6 / 1/4

Step-by-step explanation:

C)

7 0
3 years ago
Read 2 more answers
Can someone please help me with math.
sergeinik [125]
15. -2
16. A. The pool was originally empty
7 0
3 years ago
PLEASE HELP ME WITH BOTH QUESTIONS<br> THANKS!!
vitfil [10]

First one:

cos(A)=AC/AB=3/4.24

cos(B)=BC/AB=3/4.24

Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1


Second one:

To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).

If that's the case, AE is a transversal of parallel lines AB and DE.

And Angle A is congruent to angle E (alternate interior angles).

Therefore sin(A)=sin(E)=0.5

8 0
3 years ago
 Given that 310 = 59 049 , what is 3-10 expressed as an exact value?
Advocard [28]
x^{-n}=\frac{1}{x^n} \\ \\&#10;3^{10}=59049 \\&#10;3^{-10}=\frac{1}{3^{10}}=\frac{1}{59049} \\ \\&#10;\boxed{3^{-10}=\frac{1}{59049}}
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3 years ago
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