Write the sum as a product.
sin(x)-sin(4x)

Answers

Answer 1

Step-by-step explanation:

Given

sin(x) - sin(4x)

= 2 cos (( x + 4x)/2) * sin ( ( x - 4x) / 2))

= 2 cos 5x/2 • sin -3x / 2

= - 2 cos 5x/2 • sin 3x/2

Hope it helps :)❤

Answer 2

The sum sin(x) - sin(4x) can be written as a product as 2 sin (5x/2) cos (3x/2).

What are Trigonometric Ratios?

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

We have the trigonometric formula that,

sin A - sin B = 2 sin ([tex]\frac{A+B}{2}[/tex]) cos ([tex]\frac{A-B}{2}[/tex])

Here the sum is, sin(x) - sin(4x) where A = x and B = 4x.

sin(x) - sin(4x) = 2 sin ((x+4x)/2) cos ((x-4x)/2)

                       = 2 sin (5x/2) cos (-3x/2)

We also have, cos(-x) = cos(x).

So, sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2)

Hence the product form is sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2).

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Related Questions

Someone help and plz make sure the answer is right?

Answers

Answer:

B. -2

Step-by-step explanation:

The complete degree of a triangle is 180 so to solve this we would need to solve: 60+70+x+52=180.

60+70=130

130+52=182

182+-2=180

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

Answers

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

Gianna's family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let c be the cost of the reservation per night. Write and solve an equation to find c.​

Answers

Answer:

23$

Step-by-step explanation:

they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars

Write the function that represents the sequence in the table

Answers

Answer:

n= 5x each time

Step-by-step explanation:

=

if f(x)= 5x -7, what is f(3)?

Answers

Answer:

8

Step-by-step explanation:

f(x) = 5(3) - 7

f(x) = 15 - 7

f(x) = 8

how is your day?:) mine sucks because i’m doing hw on spring break

Answers

Answer:

im good :)

Step-by-step explanation:

its so annoying how teachers give hw on breakss

Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?

Answers

Answer:

I don't know what is your name is your

Please help me graph!

What points do a graph 2x-3y=12 at

Answers

2x-3y=12
-2x. -2x
-3y = - 2x + 12
/-3. /-3. /-3
Y = 2/3x + -4
(0,-4), ( -3,-2)

Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.

Answers

Answer:

[tex] m\angle E[/tex] = 77°

Step-by-step explanation:

I triangle ACE, BD || AC.... (given)

[tex] m\angle B =m\angle A[/tex]

(corresponding angles)

9x - 5 = 8x + 4

9x - 8x = 5 + 4

x = 9

3x° = 9*3° = 27°

(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°

[tex] m\angle E[/tex] = 180° - (27° + 76°)

(By interior angle sum theorem of a triangle)

[tex] m\angle E[/tex] = 180° - 103°

[tex] m\angle E[/tex] = 77°

Simplify: Square root of -16

Answers

4    

4*4 = [tex]\sqrt{x}[/tex]16                        not sure how it gets negative

Sheryl has a recipe for pasta with
vegetables. The recipe calls for
130 grams of vegetables and twice as
much pasta as vegetables. What is the
total mass in grams of the recipe?

Answers

Answer:

The Anwser Is 390 Because Add It All Up And You Got The Anwser

Answer:

390

Step-by-step explanation:

130 and then twice as much pasta, 130+130=260

Then add the vegetables: 130+260=390

390 is the total mass in grams


What is the area of the triangle below (in square units)?
10 mm
90mm

Answers

Answer:

450

Step-by-step explanation:

Answer:

450 square units, the formula is bxh divided by 2

Step-by-step explanation:

need help to Find the apothem.​

Answers

The apothem of a polygon, in this case a, can be found using the formula

Apothem=circumradius*cos(pi/sides)

Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.

a=47*cos(pi/6)=40.7 (approximation)

Hope it helped!

4x+15=75 in a number line

Answers

Answer:

x= 15

Step-by-step explanation:

4x+15=75

4x = 60

x = 15

What value of x is the solution to the equation 2x+4=−2

Answers

Answer:

I got -3 as the answer .........

Where is the zeros of the function?


Are both zeros meaningful and why?

At what height is the ball thrown?

Answers

Answer:

The zeros of the function are (-0.5,0) and (1,0), or at -0.5 and 1.

The zeros are important because that is when the ball is at the ground.

The ball is thrown at (0,8), or at 8 units up

Step-by-step explanation:

(06.01)A class has 14 girls and 12 boys. What is the probability that a girl's name is drawn at random?
14 over 12
14 over 26
12 over 14
12 over 26

Answers

Answer:

B 14 over 26.

cause it's girls out of everyone

Step-by-step explanation:

Answer:

14 over 26

Step-by-step explanation:

i got it right on flvs

-40, -47, -54, -61, ...
Find a 29

Answers

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = -7

a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236

what is the answer to this
[tex]72 \div 9[/tex]

Answers

the answer to 72\9 = 8 (:
72/9 is 8 if u do 45/9 which is 5 just keep going up nine till u go to 72

4. The figures below are similar. What is
the length of x?
15 in
6 in
4 in
10 in
8 in
X
help pls

Answers

Answer:

X = 20in

Step-by-step explanation:

6in × 2.5 = 15in

4in × 2.5 = 10in

8in × 2.5 = 20in

I hope this helps! I'm sorry if wrong.

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The given figure of arrow are similar. The bottom length of small figure is 4 in while the bottom length of big figure is 10 in. Thus, the scale factor is,

[tex]k=\dfrac{4}{10}[/tex]

The side length of small figure is 6 in while the side length of big figure is x in. Thus, the scale factor is,

[tex]k=\dfrac{8}{x}[/tex]

Both the factor are of same condition. Thus,

[tex]\dfrac{8}{x}=\dfrac{4}{10}\\\dfrac{8\times10}{4}=x\\x=20\rm\; in[/tex]

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

Learn more about the scale factor here;

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Ashlee is placing a rug in the middle of her bedroom. The length of the rug is two feet more than the width.

What is the area of the bedroom?

Answers

Answer:

A=16

Step-by-step explanation:

formula is 2l+2w=A

Plzzz helpppp itssss urgentt!!!!!!!!

Answers

Answer:

4) 40 Square inches

Step-by-step explanation:

You do 2 x 4 then divide by 2. after that you multiply by 4.  Then you add the square which is 2 x 2

Which of the following is equal to 7?
A. /81
B. /49
C. /64
D. /36

Answers

I’m guessing you tried to make the square root symbol for the answer choices. If not, LMK in the comments.

If so, your answer is B. The square root of 49 is 7. 7x7 = 49
Your answer should be B you just multiply

Can you help me with these two? Sorry!

Answers

Answer:

3. second

4. first

Step-by-step explanation:

3) B so it will be the second one

4) A it’s the first one




Hope this helps :)

please helpp solve!!

Answers

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!

The volume of this cylinder is 7500m
Find the length of the radius, t.
Give your answer rounded to 3 SF

Answers

Answer:

Clarifier Calculations

V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...

Missing: 7500m ‎Give ‎SF

Find the area. The figure is not drawn to scale. Hint: Find the sum of the areas of 2 triangles and 2 parallelograms.
Select one:
a. 188 in.2
b. 278 in.2
c. 322 in.2
d. none of these

Answers

Answer:

d. None of the above

Step-by-step explanation:

✔️Area of triangle 1 = ½*b*h

b = 11 in.

h = 3 in.

Area of triangle 1 = ½*11*3 = 16.5 in.²

✔️Area of triangle 2 = ½*b*h

b = 8

h = 9

Area of triangle 2 = ½*8*9 = 36 in²

✔️Area of parallelogram 1 = b*h

b = 11 in.

h = 9 in.

Area of parallelogram 1 = 11*9 = 99 in.²

✔️Area of parallelogram 1 = b*h

b = 9 in.

h = 11 in.

Area of parallelogram 2 = 9*11 = 99 in.²

✅Total area = 16.5 + 36 + 99 + 99 = 250.5 in.²

If $20.18 Pesos is equal to $1 US dollar, tell me how much money Mr. P would have left if he had $100 US Dollars but spent $918 Pesos in groceries this past Christmas in Mexico with his family.

Answers

Answer:

Conversion rates US Dollar / Mexican Peso

10 USD 209.37500 MXN

20 USD 418.75000 MXN

50 USD 1046.87500 MXN

100 USD 2093.75000 MXN

What does q equal?Please help me.

Answers

11/8 > q is the answer

Please help :) i will give brainliest for correct

Answers

ANSWER - Number Five - Yep
Number Six - NO!!!!!!!!
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