Mathematics High School

What is the domain of y = tan x? A. (–∞, ∞) B. C. all D. all

Answers

Answer 1

Given:

The function is

[tex]y=\tan x[/tex]

To find:

The domain of the given function.

Solution:

We know that, domain is the set of x-values or input values.

We have,

[tex]y=\tan x[/tex]

[tex]y=\dfrac{\sin x}{\cos x}[/tex]

The functions sin x and cos x are defined for all real values of x. So, the function tan x is defined for all real values of x except those value for which cos x = 0.

So, domain is [tex]-\infty<x<\infty, x\neq \dfrac{\pi}{2}+n\pi[/tex].

Note: All options are incorrect.

Answer 2

Answer:

Step-by-step explanation:

all x≠pi/2+pi n

Related Questions

how to solve 9x^2+9x+2

Answers

Answer:

factoring: ( 3 x + 1 ) ( 3 x+ 2 )

expressing/equation: 9x²= 81x

81x + 9x + 2=

9x+81x=90x

90x + 2

Step-by-step explanation:

plzz help Solve the following equation using factoring and the Zero Product Property. Select the answer which is the sum of all solutions to this equation, rounded to the nearest tenth.

24x2 + 16x + 2 = 0

Answers

This is what I got I hope it helps

The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in
the lake. What is the population this year? If you get stuck, consider drawing a diagram.
There are
fish in the pond.
HELLPPP

Answers

Answer:

theres

Step-by-step explanation:

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.

Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.

Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.

Answers

Answer:

A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]

B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]

C: 351.68[tex]cm^{2}[/tex]

Step-by-step explanation:

The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base

The area of the base is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]A = \pi *4^2[/tex]

[tex]A = 16\pi[/tex]

Hence, the area of the base is [tex]16\pi[/tex]

The cubic inches that can fill the cylinder

This is the volume of the cylinder.

So, we have:

[tex]V = \pi r^2h[/tex]

Substitute known values

[tex]V = \pi * 4^2 * 7[/tex]

[tex]V = 112\pi[/tex]

Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]

The decimal approximation

We have:

[tex]V = 112\pi[/tex]

Expand

[tex]V = 112 * 3.14[/tex]

Evaluate the product

[tex]V = 351.68[/tex]

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

Answers

Answer:

V = 10 1/2 ft³

Step-by-step explanation:

V = length • width • height

V = 2 • 3 1/2 • 1 1/2

V = 10 1/2 ft³

What number minus one-half is equals to negative one-half

Answers

Answer:

Step-by-step explanation:

I'm so confused, cans omeone help it's a TEST!!

Answers

Answer:

Step-by-step explanation:

sin R = opp/hyp = 11/61 = .18

sinR =.18

the angle R = sin^-1 (11/61) = 10.39°

∠R = 10.39°

Simplify the following fraction:
18/66

Plz help

Answers

3/11

18/66 divided by 2 is 9/33. This number divided by 3 gets 3/11. I hope this helps!

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

What is the GCF of both numbers:

the GCF is 6.

6 goes into 18, 3 times

6 goes into 66, 11 times

so the simplified version is 3/11

Please help me this is math 10, you need to find area of the shaded region in factored form.

Answers

Answer:

Express the fraction in its simplest form.

What is the missing number?

Five chicken nuggets have 135 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

243 calories

Step-by-step explanation:

PLEASE HELP Review the equation, then complete the following. f(x)=1/x-4, g(x)=4x+1/x Use composition to prove whether or not the functions are inverses of each other. Express the domain of the compositions using interval notation.

Answers

Answer:A. Yes, they are inverse of each other.

B. Domain and range of the compositions is .

Step-by-step explanation:

A. We have, and .

Now, 'when two functions f and g are inverses of each other, they satisfy the property '.

So, we have,

Thus, we get for the given function f and g, .

Hence, they are inverse of each other.

B. Now, as we have,

That is, the composition of the functions is equal to the identity function.

Thus, the domain and range are the set of all real numbers respectively.

So, in the interval notation, we have,

Domain and range of the compositions is .

Elise sold 110 total tickets for the football game. Adult tickets cost $2.50 and student tickets
cost $1.10. If she collected $212, how many of each kind of ticket did she sell? Define your
variables, write two equations and solve the system, showing all of your thinking
A=
S =

Answers

Answer:

A + S = 110

2.5A + 1.1 S = 212

S = 110-A

Put value of x in equation 2

A = 65......... S = 147

Step-by-step explanation:

what is 500/465 please

Answers

Answer:

1.075

in fraction form 100/93 but they are both equivalent

Step-by-step explanation:

Answer:

100/93

Step-by-step explanation:

decimal form- 1.075

mixed number- 1

7/93

please help!! Graph the line that has a slope of 3 and contains the point (3,0)

Answers

Answer:

Step-by-step explanation:

Jonah deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?

Answers

$13 i think would be the answer

Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.

Answers

Answer:

she started with 32 apples and ended with 28

there were 8 apples in each bag but after she ate one from each bag, there are only 7 apples in each bag

Step-by-step explanation:

what is .2735 rounded to the tenth, hundredths and thousandth place?

Answers

Answer:

Tenth: .2

Hundredths: .27

Thousandth: .273

Answer:

i fald

Step-by-step explanation:

(3) GEOMETRY IMAGE BELOW. 20 POINTS!!

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question.

the length of the mid segment was 42 option A

( previous question ) according to me and it is right so please recheck your previous answer as it was option A not D

hope this will be helpful to you.

and mark my answer as brainlist plzzzz.

the answer above is correct it’s option D

Factorize 27x3 - 16y3

Answers

Answer:

27x3-16y3=

3x-4y

Step-by-step explanation:

I don't understand your question fully

I hope I helped you

-4M = 48 What would you do to each side of the equation?
Pls responddd

Answers

Answer:

divide by - 4

Step-by-step explanation:

Given

- 4M = 48 ( isolate M by dividing both sides by - 4 )

M = - 12

helpp with explanation:
a 25 foot telephone pole is to be secured with cable that will extend from the top of the pole to a stake in the ground 20 feet from the base of the pole. if y represents the length of the cable what is the approximate value of y?

Answers

Answer: 5

Step-by-step explanation:

3x - 4.5 = -19.5
solve for x

Answers

Answer:

Step-by-step explanation:

3x=-15

x=-5

Answer:

-5

Step-by-step explanation:

Solve for x (X-9)(x+5)=8(21)

Answers

I think the answer should be x = 10.101326

Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay

Answers

Answer:

Tia earns $693 in 36 hours

Linear Equations Digital Escape! Can you find the slope-intercept equation of each line and type the correct code?

Answers

Answer: I can if there’s a picture...

Step-by-step explanation:

Answer: cgia

Step-by-step explanation:

Find the mean and range of: 1.5, 0.5, 2, 3, 2.5

Answers

Answer:

mean 2 range2.5

Step-by-step explanation:

any help would be cool

Answers

Answer:

379.94

Step-by-step explanation:

Answer:

D. 69.08 meters

Step-by-step explanation:

The formula for solving circumference is 2 times pi times r(radius). Multiply 2 x 3.14 x 11 (the radius). You get 69.08 meters.

Hope it helps!

The estimate obtained from a sample of which size is likely to be closest to the actual parameter value of a population?

Answers

Answer:

184

Step-by-step explanation:

Answer: 184

Step-by-step explanation:

A P E X

PLEASE HELP!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!NOW!!!!!!!!!!RIGHT AWAY!!!!!!!!

Answers

Answer:

(a)it is

Step-by-step explanation:

this is because ABC and SDC are both right angle triangles

please help me thank you

Answers

Answer:

7<x<14

Step-by-step explanation:

Answer:

heh heh that's a hard one

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