Solve 2 cot x = csc^2 x symbolically on the interval (0,2pi).

Answers

Answer 1

Answer:

x=pi/4, 5pi/4

Step-by-step explanation:

cot x = cos x / sin x, csc x = 1/sin x, so we have 2 cos x / sin x = 1/ sin^2 x. multiply both sides by sin^2 x to get 2 cos x * sin x = 1, divide both sides by 2 to get cos x sin x = 1/2, this would work for angles pi/4 and 5pi/4 (3pi/4 and 7pi/4 would make cos x sin x = -1/2) since cos x = sin x = sqrt(2)/2


Related Questions

Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?

Answers

Answer:

30 kilometers

Step-by-step explanation:

18 divided by 0.6 is 30

Easyyyy 30 kilometers

Help help help
Help hep help

Answers

Answer:

-2

Step-by-step explanation:

-4x-2x ≤ 17-5

-6x ≤ 12 | /(-6)

x ≥ -2

Hi! ❤️ , im looking for some (accurate) help here.

ill give brainliest if able to.

Answers

Answer:

A

Step-by-step explanation:

70000 is 100 times greater than 700  

I need help with number 9 please

Answers

Answer:

29.85

Step-by-step explanation:

1 month = 9.95

2 months = 19.9

3 months= 29.85

It shows the progression through three months and how much it was starting off from one month.

Answer: $29.85

per day it charges $9.95

she has the subscription for three months

we will then multiply the amount charged per month

$9.95 x 3 = $29.85

I hope this helps! :)

1.What is the formula for the volume of a cylinder
2.Sarah is running in a 42 miles marathon.How far is.it in ft?​

Answers

Step-by-step explanation:

Volume of cylinder = πr²h

42mi = 221760 ft .

A 16" × 16" square tray can hold at most 9 bagels placed side by side, as shown below. At most how many bagels can a 32" × 32" square tray hold if bagels are placed side by side?\

Answers

Answer:

At most it can hold 18 bagels

Step-by-step explanation:

So we can make this an equation

16 · 16 square tray = 9 bagels on top of it

We just doubled both sides of it

giving us 32 · 32 square tray = 18 bagels can be held.

6+13+20...+(7n-1) Find the sum.

Answers

Answer:

2.5n+3.5n^2

Step-by-step explanation:

(6+7n-1)*n/2=2.5n+3.5n^2

Find the values for a, b, and c for this quadratic equation. 3x^2 - x - 1 = 0​

Answers

Answer:

a = 3, b = -1, c = -1

Step-by-step explanation:

3x² - x - 1 = 0  ⇒  3x² - 1x - 1 = 0

a = 3, b = -1, c = -1

The graph of g(x) = x + 2 is a translation of the graph of the parent function 2 units [ A. right , B. left , C. up , D. down ].
The graph of g(x) = 3(–x) is the graph of the parent function stretched vertically and reflected across the [ A. x-axis, B. y-axis ].
The graph of g(x) = (5x) is a [ A. vertical stretch, B. vertical compression, C. horizontal stretch ,D. horizontal compression ] of the graph of the parent function.

Answers

Answer:

Step-by-step explanation:

1. C

2. B

3. D

4. 8 is what percent of 18?

Answers

Answer:

the answer is 26.6666667 and when rounded off is 26.7


STRUCTURE Tell whether the triangles are similar.

Answers

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2

Answers

Answer:

[tex]p>-2[/tex]

Step-by-step explanation:

[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]

Answer:p < -2

Step-by-step explanation:

Last year 85 students in 7th grade This school year only 68 What is the percent decrease?

Answers

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

Given 4(3x-8)=52 prove x=7

Answers

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

this question got asked three times =)

Answer:

52 is the answer

Step-by-step explanation:

You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.

3(7)=21

Subtract the numbers in the paratheses once you have found the number with the variable.

21 - 8 = 13

Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.

4 * 13 = 54 or 13 * 4 = 54

I hope this helps u! :D

Can someone please help with my math homework? this is so confusing.

Answers

Hi there friend, your answer for perimeter is 18.

I’ve included a graph below to help explain why but basically if you count the squares, each side measures 4 1/2 units so if you multiply 4 1/2 units by 4(the number of sides) you get 18.

hiii i don’t understand help

Answers

Answer:

1/3³

Step-by-step explanation:

[tex] {3}^{2} \times {3}^{ - 5} \\ = {3}^{[2 + ( - 5)]} \\ = {3}^{ - 3} \\ = \frac{1}{ {3}^{3} } [/tex]

What four digit number an i? The sum of my digits is 4. The product of my digits is 1

Answers

Answer:

4, 2, 1, 1

Step-by-step explanation:

Solve for x:
Spam: WHSIYWsugwediywedw

Answers

Answer:

um whats m or y?

Step-by-step explanation:

Answer:

[tex]x=3m+y[/tex]

Step-by-step explanation:

Let's solve for [tex]x[/tex].

[tex]m=\frac{x-y}{3}[/tex]

Step 1: Flip the equation.

[tex]\frac{1}{3}x+\frac{-1}{3}y=m[/tex]

Step 2: Add [tex]\frac{1}{3}y[/tex] to both sides.

[tex]\frac{1}{3}x+\frac{-1}{3}y+\frac{1}{3}y=m+\frac{1}{3}y[/tex]

[tex]\frac{1}{3}x=m+\frac{1}{3}y[/tex]

Step 3: Divide both sides by [tex]\frac{1}{3}[/tex].

[tex]\frac{\frac{1}{3}x }{\frac{1}{3} } ={\frac{m+\frac{1}{3}y }{\frac{1}{3} }[/tex]

[tex]x=3m+y[/tex]

Answer:

[tex]x=3m+y[/tex]

Please help me please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The translation can be can be expressed as : -

A translation

up 8 units and left 7 units

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

On two investments totaling $14,000, Peter lost 4% on one and earned 6% on the other. If his net annual receipts were $312, how much was each investment?

Answers

Answer:

5280 , 8720

Step-by-step explanation:

suppose the one is x, another is y

x+y=14000

y(6%)-x(4%)=312

x=5280

y=8720

net annual receipt means the income so you have to substract the lost from the gains

Round 2,913 to the nearest ten

Answers

Answer:2,910

Step-by-step explanation:

Answer:

2910

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

The parent cubic function

[tex]\mathbf{f(x) = x^3}[/tex]

A transformed function of the cubic function may be

[tex]\mathbf{g(x) = -x^3}[/tex]

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = -f(x)}[/tex]

Substitute x^3 for f(x)

[tex]\mathbf{g(x) = -x^3}[/tex]

Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

Read more about cubic functions at:

https://brainly.com/question/20896994

Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 11 options: A) 6 B) 1∕2 C) 8 D) 10

Answers

The answer is option D, 10. By using the distance formula this is what you should get.

Check the picture below.

59 oz = ____ lb ______oz
Explain yourselves

Answers

Answer:

3 lb 11 oz

Step-by-step explanation:

Divide 59 by 16

Answer:

3 pound and 11oz

Step-by-step explanation:

hop3 this helps

Are the two triangles congruent?

Choose 1 answer:


(Choice A)

A-Yes

B-No

C-There is not enough information to say.

Answers

They are not congruent

rebecca has 12 photos she wants to hang side by side on her wall.

A. if she only wants to display 8 of the photos, in how many ways can she choose 8 photos she wishes to eventually display?


B. in how many ways can she arrange all 12 photos?


C. if rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the 12 photos?​

Answers

We want to find different ways of selecting and ordering elements. The answers are:

A) C = 395

B) combinations = 479,001,600

C) combinations = 239,500,800

First, we know that Rebecca has 12 photos.

A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.

Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

Here we have N = 12 and K = 8, then:

[tex]C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495[/tex]

So there are 495 different ways of choosing 8 photos out of the 12.

B) Now we want to see in how many ways she can arrange all 12 photos.

The first photo can be any one of the 12, so there we have 12 options.The second photo can be any one of the remaining 11 (so we have 11 options).The third photo can be any one of the remaining 10, and so on.

The total number of combinations is just the product between the numbers of options, we got:

[tex]combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600[/tex]

C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.

[tex]C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66[/tex]

And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:

[tex]c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800[/tex]

If you want to learn more, you can read:

https://brainly.com/question/14305145

find the lengths of lien segments AC & CB

Answers

Answer:

AB = 28cm

point C partitions AB into a ratio 1:3

they say to find the lengths of AC and CB

Usually in maths questions like this look at the order of things placed. Meaning…

ratio — 1:3

find — AC and CB

1 — AC

3 — CB

so now we know

1:3

AC:CB

1+3 = 4

28/4 = 7

7*1 = 7 = AC

7*3 = 21 = CB

Which (I believe) is the second option

represent each solution on a number line 3​

Answers

I don't know how to represent it on a nomberline

I

Find all missing angles.

M21 =

m22

m23

57-

72•

4

m24

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:


Which distance formula or formulas show(s) a joint variation?

Answers

Answer:

II and III only

Step-by-step explanation:

One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.

Other Questions
Does anyone here thats a real Spanish and knows how to make skits because I need help and Ill show you what to put and sentences And I will send on snap. Hellppp MEEEEEEE PLEASEEEEE Select the correct answer.Which factors indicate the economic development of a countryA. literacy rate, life expectancy, and per capita GDPB. total GDP, military expenditure, and infrastructure C. net imports, rate of mechanization, and crime rateD. infrastructure, life expectancy, and technological advancement 1. The beginning of the film brings up some findings from the World Health Organization that links processed meat to an increase in cancer. According to these findings, just one serving of deli meats daily increases your risks of colorectal cancer by ___________. Whats the answer to 2/3 -1/2 What is the area of this tile? in. in? 4 in. I in. Figure ABCD is a trapezoid.Find the value of x.,2x + 117X3x + 8ADX= [?] The first amendment of the constitution deals primarily with: 2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached toit. How long will the spring be if a 15-kg weight is attached to it? A school psychologist can make the diagnosis of an FASDTrue / False The price of trail mix at a health food store is$7.50 per pound. At that rate, what is the totalcost of three 8-ounce bags of trail mix? use the figure to find the value of PT. PT = 5x + 7 and TQ = 9x-5 Where on the planet would you receive more direct sunlight?A) locations in the mid-latitudesB) at the North PoleC) at the South PoleD) places near the Equator which property below is not one of the characteristics that makes human language unique? what is ux designer? Why was the creation of element 114 so special? Helps me please help help me 2. DBThe price of a shirt is $18.50, but you have a coupon that lowersthe price by 20%. What is the price of the shirt after using thecoupon? Choose a video game that you enjoy playing and discuss its game mechanics. Can you identify any game mechanics that your game has that were not mentioned in the unit? To practice for a competition, Christian swam 0.51 kilometer in the pool each day for 4 weeks. How many meters did Christian swim in those 4 weeks?