prove that cotx + coty = sin(x+y)/sin x sin y

Answers

Answer 1

Answer:

change L.H.S in terms of sin and cos

Step-by-step explanation:

so we know cot x= cos x/sin x. so similarly we have cot y = cos y / sin y. since we have our cot in terms of cosine and sine, get a L.C.M and solve it further.


Related Questions

help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes

Answers

Answer:

A

Step-by-step explanation:

John can mow the same lawn in 3 hours.

In 1 hour he can mow 1/3rd of the lawn.

In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.

Together they can mow the lawn in 6/5 hours=1.2 hours.

I hope this helped, please mark Brainliest, thank you!!

Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

The correct option is (C).

What is a algebra ?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

John can mow his lawn in 3 hours.

Julie can mow same lawn in 2 hours.

In 1 hour = 1/3rd of the lawn.

In 1 hour, together they can mow

= (1/2+1/3)

=5/6th of the lawn.

Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

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Find the inverse of the linear function.

anyone pls?

Answers

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get

Answers

Answer:

Shenika invites 7 friends and each one gets 5 cookies.

= 7*5

= 35

Based on above answer, Shenika will need a total of 35 cookies for all.

-----------------------------------------------------------------------------------------------------------

Each box has 12 cookies.

Total cookies = 35

Let the number of boxes be x.

12*x = 35

x = 35/12

x = 2.9

This means she would need 3 boxes.

Which number can fill in the blank below?



4.3 < _________ < 4.5



A.440%

B.44%

C.4.4×10^1

D.4.4%

Answers

Answer:

A

Step-by-step explanation:

440 percent is the same thing as 4.4

What is the APR on a loan with a monthly periodic rate of 1.75%

Answers

try using socratic that will help too

NEED HELP ASAP!!!! please! 25 points!

Answers

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope?​ I will give brainliest and help you ☻

Answers

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment

evaluate 68 x 71 mentally.

Answers

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

Answer:

4828

Step-by-step explanation:

68x71=4828

Struggling with this problem need help badly

Answers

Answer:

Step-by-step explanation:

100 points
whats 9 times 3 plus 3 divided by 2

Answers

Answer:

hi

Step-by-step explanation:

28.5

Answer:

15

Step-by-step explanation:

Para preparar una limonada usé litro de jugo de limón natural. Además, utilicé litros de agua. ¿Cuántos litros de líquido utilicé para hacer la limonada?

Answers

Answer:

Falta la cantidad de litros de agua utilizados para hacer limonada, e.g. si utilizaste 1 litro de jugo de limon y 3 litros de agua, utilizaste 4 litros de liquido en total. Si utilizaste 1 litro de jugo de limon y 5 litros de agua, utilizaste 6 litros de liquido en total.

Para encontrar la solucion al problema todo lo que tienes que hacer es sumar 1 litro de jugo de limon mas la cantidad de litros de agua que hayan sido utilizados. Tanto el jugo de limon como el agua se miden en litros.

(EASY) I WILL MARK THE BRAINLYEST !!!

so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.

1) |5x+5|+22>57

solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )


2) I= prt
solve for I

Answers

Answer:

-8>x>6

Step-by-step explanation:

I 5x+5I +22> 57subtract 22 on both sides

I5x+5I >35

                                    SPLIT

5x+5>35                                              5x+5< -35 ( flip sign and 35 negative)

5x>30                                                   5x< -40

x>6                                                         x< -8

  Draw a number line Write  zero in the middle

From zero count  to the  left until- 8  make an open circle because- 8  is not included  From -8 draw  an arrow to the left (because x  is less than -8)  

From zero  count to the right until  6  Make an open circle bc 6     is not included.  From 6 draw an arrow to the right   (because x is more than 6)

PART 2 is not already solved?  

If you need to solve fot t

Divide both parts by pr

t= (l/ pr)                                      


What is the decimal equivalent of
7/8
?
A. 0.780
B. 0.870
C. 0.875
D. 0.885

Answers

7/8 is equal to 0.875. Have a good day!

Square root -80 by using imaginary unit I

Answers

you already got the answer but if you ever need the answer instantly for any math question use mathaway its a really good app and will gove you the answer and step by step explanation

Please help me with this question

Answers

Answer:

Step-by-step explanation:

(a). SR = 15√2 km ≈ 21.2 km

R is 21.2 km due South-East of S

(b). RQ² = 35² + 15² ⇒ RQ = 5√14 km ≈ 38.1 km

R is 38.1 km due South-West of Q

In the statement 10 + 0 = 0 + 10 how would you describe the zero (0)?​

Answers

the additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number

State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people

Answers

Answer:

144

Step-by-step explanation:

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

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A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.

Answers

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

Round -5 1/2 to the nearest whole number

Answers

Answer:

dear explain your question briefly

Step-by-step explanation:

We will try to explain you

The round off -5 1/2 to whole number is -6.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Fraction: -5 1/2

Now, converting it to the decimal

= -11/2

= -5.5

now, rounding off to whole -5.5 will lie between -5 and -6.

Hence, the whole number round off for - 1/2 is -6.

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At a grand-opening sale, 20% of the first 500 customers won a prize. How many of the first 500 customers won a prize ?

Answers

Answer:

100

Step-by-step explanation:

The correct answer would be 100

Find the product.
(v - 7su^2) (v + su^2)
Enter the correct answer.

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Reminder :

[tex](x + a)(x + b) = {x}^{2} + (a + b)x + (a \times b) \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {v}^{2} + ( - 7s {u}^{2} + s {u}^{2})v +( ( - 7s {u}^{2})(s {u}^{2} )) = \\ [/tex]

[tex] {v}^{2} - 6s {u}^{2} v - 7 {s}^{2} {u}^{4} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

v² - 6su²v - 7s²[tex]u^{4}[/tex]

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

= v(v + su²) - 7su²(v + su²) ← distribute both parenthesis

= v² + su²v - 7su²v - 7s²[tex]u^{4}[/tex] ← collect like terms

= v² - 6su²v - 7s²[tex]u^{4}[/tex]

51×59 evaluate and answer​

Answers

51 multiply by 59 is 3009
51 multiply by 59 and evaluate and you should get 3,009 plz mark brainliest

What is the image of (-3,9) after a reflection over the y = x?

Answers

Answer:

(9,-3)

Step-by-step explanation:

An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.


Which statement is true?

If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.

Answers

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.

I hope this helps. Brainliest would be nice to.

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers

Answers

Answer:

Let the numbers be x and y

x+y=100

x-y=95

taking x-y=95

x=95+y

x+y=100

95 + y +y = 100

2y=100-95

y=5/2

y=2.5

x=95+y

x=95+2.5

x= 97.5

Hope it helps...............

The two numbers are 97.5 and 2.5.

What is Addition and Subtraction?

Subtraction is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

The sum is 100 and the difference is 95.

x + y = 100 ⇒ x = 100 - y

x - y = 95

Substituting x = 100 - y in the second equation,

100 - y - y = 95

100 - 2y = 95

2y = 100 - 95

2y = 5

y = 5/2 = 2.5

x = 100 - y = 100 - 2.5 = 97.5

Hence the numbers are 97.5 and 2.5.

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first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3

Answers

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units. Do you agree? Why or why not?
A.S.A.P. I HAVE TO TURN THIS IN AT 10:30 HURRY PLEASE :)

Answers

Given:

A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

[tex]y=3x[/tex]

[tex]f(x)=3x[/tex]

Equation of after transformation is

[tex]y=3(x+8)[/tex]

[tex]g(x)=3(x+8)[/tex]

Now,

[tex]g(x)=f(x+8)[/tex]      ...(i)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

[tex]a=8\text{ and }b=0[/tex]

Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.

Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5

A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5

I assume it's D, but I'm not fully sure.​

Answers

Answer:

D You got it right. 65% 5/8 3/5 0.5

The cost to manufacture calculators is represented by the function (). The correct explanation of the statement (17)=225 is:

225 calculators cost $17


3,825 calculators cost $225


17 calculators cost $13.24


17 calculators cost $225

Answers

Answer:

225 Calculators cost $17

Step-by-step explanation:

Since the Function () is Representing the cost, it is logical 17 dollars is the cost, and the 225 is the number of calculators.

so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.

1) |5x+5|+22>57

solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )


2) I= prt
solve for I

Answers

Answer:

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

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