express cos6mcos2m as a sum or difference

Answers

Answer 1

Given :

An expression (cos 6m)(cos 2m) .

To Find :

We need to express it in terms as sum or difference.

Solution :

We know,

cos( A + B ) = cosA cos B - sin A sin B

cos( A - B ) = cosA cos B + sin A sin B

Adding both the equations we get :

2cos A cos B = cos( A + B) + cos( A - B )

or

cos A cos B = cos( A + B) + cos( A - B )/2

Putting value of A = 6m and B = 2m in above equation, we get :

(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2

(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2

Hence, this is the required solution.


Related Questions

I Need Help ASAP!!!​

Answers

Answer:f(x) in order from left to right= -20, 5, 10, 15, 30 i.) -.06 ii.)-40

Step-by-step explanation: f(x) is the answer of 5 times whatever x is, so when it’s telling you what x is all you have to is multiply it by the number next to x which in this case is 5. after doing that you get the answers above. for i.) it’s telling you the answer which is -3, so you divide that by 5 getting -.06. In ii.) it gives you x which is -8 so you plug that in giving you -40.

Of the four choices given, which two, when written as a system, have a solution of (-4,5)?

Answers

Answer:

The answer is A. The first one.

I hope this helps. ;)

Answer:

It is A on edge 2020

Step-by-step explanation:

how many times does 50 go into 102?​

Answers

2 because 50 x 2 is 102

Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2

Step-by-step explanation: 2 times 50= 100

frank has an eraser. it has a mass of 4g and a volume of 2cm3 what is the density?​

Answers

Answer:

2 g/cm^3

Step-by-step explanation:

geometry help please :)

Answers

Answer:

Medium to Line AC

Altitude to Line AC

Bisector of Angle B

Perpendicular bisector of Line AC

Step-by-step explanation:

We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.

#teamtrees #WAP (Water And Plant)

Graph the inverse of each function

Please show work will give brainillest

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph of the inverse of a function is its reflection in the line y=x. In the attached, that line is shown as a dashed yellow line. The inverse function is shown as a blue line.

__

One way to plot the inverse function of a line is to swap the x- and y-coordinates of the line's intercepts.

In A, the x-intercept is about 10, and the y-intercept is about -4. For the inverse function, the y-intercept will be 10 and the x-intercept will be -4.

In B, the x- and y-intercepts of the function are -6 and 6, respectively. For the inverse function, they will be 6 and -6, respectively.

Answer:

In A, the x-intercept is about 10, and the y-intercept is about -4. For the inverse function, the y-intercept will be 10 and the x-intercept will be -4.

In B, the x- and y-intercepts of the function are -6 and 6, respectively. For the inverse function, they will be 6 and -6, respectively.

Step-by-step explanation:

i got it right on edge

If the price of beef rose from $8.72 per pound to $9.43 per pound, what is the percent of increase? Round to the nearest percent

Answers

Answer:

8.1%

Step-by-step explanation:

Step one:

given

initial price = $8.72 per pound

final price=  $9.43 per pound

Required

the % increase

Step two:

% increase= (final-initial)/initial*100

substituting we have

[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]

32. Exercise Ahmit gets
exercise on the weekend by
working around the house.
On Saturday, he worked for
3 hours mowing the lawn and
raking leaves; He burned
885 Calories.
a. Write a system of
equations that can be used
to describe the amount
of time Ahmit worked and
the number of Calories
he burned by mowing
and raking
b. Determine how much time Ahmit spent on mowing and raking.

Answers

Answer:

X: time mowing lawn (325 Cal/hour)

Y:time raking leaves (275 Cal/hour)

325X + 275Y = 885

3 - X = Y

(1.2 hours mowing the lawn, 1.8 hours raking leaves)

Step-by-step explanation:

you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.

Which range contains the value of sqrt(25-4+16)?
A. Between 6.0and 6.2
B. Between 6.9 and 7.1
C. Between 2.1 and 2.3
D. Between 18.4 and 18.6

Answers

Answer:

I wanna say C. But I'm not exactly sure.

Step-by-step explanation:

I hope it's right :(

Will give crown help

Answers

Answer:

D is a right angle

B is an accute angle

A and C are obtuse

could somebody help please

Answers

if you have zero dollars you can’t buy anything

write a statement that indicates that the triangles in each pair are congruent

Answers

Number 1 is congruent

Kayla can write 415 pages in 10 minutes. At this rate, how many pages could Kayla write in 30 minutes?

Answers

Answer:

1245

Step-by-step explanation:

You have to multiply 415 and 3, since 10 x 3 = 30

415 x 3 = 1245

Answer:

She can write 1245 pages in 30 mins.

Step-by-step explanation:

If 10*3= 30 then multiply 415 by 3 or add 415 3 times and you will get your answer. Hope this helped you!! Give brainliest.

Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...

Answers

Well, I hope that kinda helps

Answer:

25.734

Step of explanation:

tanjent =opposite/adjacent

cosine =adjacent /hypotenuse

sine =opposite /hypotenuse

this use tangent because the opposite number is there and we want to find adjacent

so t =opposite /adjacent

tan25 °=12/ a

a=12/tan25

=25.734

2x+4y=8 find the slope

Answers

Make it y = mx + b form
4y = -2x + 8
Divide by 4
Y = -1/2x + 8
The slope is -1/2
M= -1/2 I think that’s the ANS

There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up

Answers

Answer:

2 rows of 41

Step-by-step explanation:

i had the same question

The number of possible ways can the chairs be lined up is 2 rows of 41.

Given that,

There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows.

Based on the above information, the calculation is as follows:

[tex]= 2 \times 41[/tex]

= 82 chairs

Here 2 denotes the rows.

Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.

Learn more: brainly.com/question/13549064

whats one plus 1 x 111111100000+y7897654323456x1

Answers

Answer:

Shoyo here!

Step-by-step explanation:

10000000000000000000000000000000

Find the distance between the two points to the nearest tenth. (0,-5) and (-4,2) 5 5.3 5.2 5.6

Answers

Sqr (x2 - x1)^2 + (y2 - y1)^2
Sqr (-4-0)^2 + (2+5)^2
Sqr (16) + 49 = sqr 65
I got around 8.
(I might did something wrong, idk)

what is the cost of 1 pound of pears?

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

$1.75

Step-by-step explanation:

What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!

Choose
A) 31
B) 34
C) 32
D) chicken wing

Answers

Answer: C.)32 Bestieeeee

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Help me on this please

Answers

Answer:

A. x1/15

Step-by-step explanation:

Answer:

It would be [tex]x^{\frac{8}{15}}[/tex] or D

Hope this helps

Choose the number that is 5 more than a square number.
21
34
35
65
76

Answers

5 more than a square number would be 21 which is 5 more than 16 (the square of 4)

Answer:

21

Step-by-step explanation:

this requires practical assumption.

take 9 for example

5 more than 9 means 9 - 5 = 4

4 is a square number

21 = 21 - 5 = 16

16 is a square number

34 = 34 - 5 = 29

29 is not a square number

35 = 35 - 5 = 30

30 is not a square number

65 = 65 - 5 = 60

60 is not a square number

76 = 76 - 5 = 71

71 is not a square number

Please help! I think of a number, I double it, and then add 3. The result is 19. Write this in the form of an equation and then solve the equation to find the number I was thinking of.

Answers

Answer:

8

Step-by-step explanation:

Y×2+3=19

19-3=16

16÷2=8

You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.

y−4=7(x−6) what is the ordered pair solution for this problem

Answers

This is your perfect answer

Question 6: please help me out here :(((

Answers

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

Pleaseee I need help

Answers

Answer:

(48-8xy)-(3xy-10)

Step-by-step explanation:

A particle is moving along the number line so that its distance (in meters) from the origin at any time t (in seconds) is given by s(t) = 8t2 + ln t.

The velocity of the particle at t = 1 second is:

Answers

Answer:

The velocity is 17 m/s

Step-by-step explanation:

To find the velocity, we find the first differential of the displacement

That will be

S’(t) = 16t + 1/t

We simply proceed to replace t with 1

That will give;

16(1) + 1/1

= 16 + 1 = 17 m/s

A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.

Answers

Answer:

You have a 25% chance on landing on any of the colors  

Step-by-step explanation:

You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer

Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors  

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

here, we have,

In this problem,

You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow

there are four colors in the spinner

if you divide the number of colors (4) and divide it by 100

you will get 25 and that is your answer

Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.

More can be learned about sample spaces at brainly.com/question/25861936

#SPJ3

What is the constant of proportionality in the equation y=0.72x

Answers

Answer:

Constant: 0.72 = 18 : 25

Step-by-step explanation:

None

determine the equation of the line

Answers

Answer:

y=5x-12

Step-by-step explanation:

the slope is 5 and y int. is -12

Other Questions
I need help with punctuation What is the discriminate? THIS IS MATH BUT NO ONE WILL HELP ME THERE! PLEASE HELP ME!!! ILL GIVE CROWN!!! PLEASE GIVE STEP BY STEP EXPLINATIONS! How reintroduction of the sea otter populations impacts the health of the kelp forest ecosystem describe the impact on at least 3 other l species within the kelp forest Which of the following is responsible for sensing excessive strength to protect the muscle Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction. What is stimulus?...... PLS I NEED HELP ASAP Kyle writes an essay about indentured servants in the 1800s:Unlike the colonial era, indentured servants in the 1800s were mostly born in the United States. Many indentured servants were young people who hoped to gain a better life after a period of work. They committed themselves to a master for a period of several years. The master usually paid some of their expenses and was required to free them at the end of their contract period.Which statement corrects a mistake in Kyle's essay? A. Indentured servants in the early 1800s were usually immigrants.B. Most indentured servants were older people who had fallen on hard times.C. Indentured servants had the right to stop working whenever they wished.D. Masters rarely freed indentured servants at the end of a contract. What is the answer to 4.9 Code Practice: Question 2 Please help! 20 points and Ill give Brainliest Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Write a linear model (equation) that represents the height of the plant after d days B. What will the height of the plant be after 20 days John and Jessica are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. John sold 7 small boxes of tangerines and 13 large boxes of tangerines for a total $165. Jessica sold 1 small box of tangerines and 13 large boxes of tangerines for a total $135. What is the cost of each of one small box of tangerines and one large box of tangerines? You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8.6%. Does the additional margin generated cover the Interest payments?a) Yesb) No HELP!! WILL MARK BRAINLIEST!! DUE IN A FEW HOURSS!!WRITE IN YOUR OWN WORDS DOESN'T NEED TO BE LONG!! identify the adverb in the sentence. The twins go everywhere together.A. goB. twinsC. everywhere D. together Multiply the two binomials 6x - 5 and 2x + 3 and write your answer insimplified terms 3. Which of the following is an example of a powerful action taken by the United Nations (UN)?A. Setting aside lands in Palestine for Jewish people and declaring it a nationB. Ending the Cold War with a truceC. Preventing the United States and its allies from invading VietnamD. Declaring war on the USSR What is a calorie? Empty calories, give examples. Can someone explain to me how to get the answer: -3 |2d| = 12 Which group wanted to fight for liberty?