prove that (Cosx-Cos³x)/Sinx=SinxCosx​

Answers

Answer 1

Answer:

(Cosx-Cos³x)/Sinx=SinxCosx

Step-by-step explanation:

sin3x−cos3x

=sinxsin2x−cosxcos2x

=sinx(1−cos2x)−cosx(1−sin2x)

=sinx−sinxcos2x−cosx+cosxsin2x

=sinx−cosx+(sinx−cosx)sinxcosx  

=(sinx−cosx)(1+sinxcosx


Related Questions

x 4 -3x + 1, 4x 2 - 2x + 8, and x 3 - 9
??????

Answers

Answer:

-x +8 is the answer maybe

In the figure Line “P” is the ____?

Answers

Answer:

  "line of reflection."

Step-by-step explanation:

It appears as though the figure on the left is a reflection of the figure on the right across the line. Hence line P is the line of reflection.

Maribel was approved for a 7-year private student loan at 6.8% to cover her college costs of $10,900. . Determine her monthly payment. Round to the nearest cent. What is the total amount she will pay back? What is the total interest amount?

Answers

The total interest amount, the total amount to be paid, and her monthly payment over 7 years  is mathematically given as

X=741.2Y=11641.2z=138.5857

What is the total amount she will pay back and the total interest amount?

Question Parameters:

Maribel was approved for a 7-year private student loan at 6.8%

costs of $10,900

Generally, the total interest amount   is mathematically

given as

X=10900*0.068

X=741.2

Therefore total amount to be paid is

Y=10900*741.2

Y=11641.2

In conclusion, her monthly payment over 7 years

z=11641.2/(7*12)

z=138.5857

Read more about Interest

https://brainly.com/question/2455673

Answer:

Step-by-step explanation:

The total interest amount, the total amount to be paid, and her monthly payment over 7 years  is mathematically given as

X=741.2

Y=11641.2

z=138.5857

What is the total amount she will pay back and the total interest amount?

Question Parameters:

Maribel was approved for a 7-year private student loan at 6.8%

costs of $10,900

Generally, the total interest amount   is mathematically

given as

X=10900*0.068

X=741.2

Therefore total amount to be paid is

Y=10900*741.2

Y=11641.2

In conclusion, her monthly payment over 7 years

z=11641.2/(7*12)

z=138.5857

Solve for x:
4(3x8-x)=4

Answers

Step-by-step explanation:

[tex]4\left(3\cdot \:8-x\right)=4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(3\cdot \:8-x\right)}{4}=\frac{4}{4}[/tex]

[tex]Simplify[/tex]

[tex]24-x=1[/tex]

[tex]\mathrm{Subtract\:}24\mathrm{\:from\:both\:sides}[/tex]

[tex]24-x-24=1-24[/tex]

[tex]Simplify[/tex]

[tex]-x=-23[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{-23}{-1}[/tex]

[tex]Simplify[/tex]

[tex]x=23[/tex]

Answer:

[tex]x=23[/tex]

Step-by-step explanation:

[tex]4(3\cdot8-x)=4[/tex]

Divide both sides by 4:

[tex]\implies 3\cdot8-x=1[/tex]

Add x to both sides:

[tex]\implies 3\cdot8=x+1[/tex]

Multiply 3 × 8:

[tex]\implies 24=x+1[/tex]

Subtract 1 from both sides:

[tex]\implies 23=x[/tex]

Q14 what will be the Perimeter of a
rectangle having dimensions 2cm
by 3 cm?

Answers

Your answer is 10cm

2l + 2w

4+6=10cm

CONSIDER BRAINLIEST.

Answer:

perimeter: 10 cm

explanation:

perimeter of rectangle: 2 ( length + width )

using this formula:

2( 2 + 3 )

2 ( 5 )

10 cm

Seven friends went out to lunch they each started with the same amount of money and they each spent six dollars they ended with a combined total of $42 how much did each of them have to start

Answers

Answer:

I think so

7 friends went lunch

they same amount money =$6

total they ended=$42

each of them have to start =42/6=7

Which graph represents the inequality x ≤ 2?

Answers

Answer:

bottom right corner

Step-by-step explanation:

It will go the direction the arrow is pointing. Closed because there is a line under the sign.

Top right corner represents the inequality x ≤ 2.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

The x [tex]\leq[/tex] 2 means x will contain all value less than 2 upto infinity including 2 therefore, the correct representation will be Top right corner graph as it is shaded for all values less than 2 including 2.

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Which situation most directly illustrates a possible outcome of a fiscal policy?
A. A corporation decides a to expand its operation to several new states.
B. The amount of federal money available to support education decreases.
C. Employees at a company are forced to take a pay cut while executives do not.
D. The value of the dollar goes down relative to a foreign currency's value.

Answers

Answer: B. The amount of federal money available to support education decreases.

Step-by-step explanation:

The Fiscal policy of a Government relates to the spending and taxation policies of that Government in an effort to control the direction of the Economy.

Normally there are two types of Fiscal Policy: Expansionary and Contractionary. Expansionary fiscal policy works by the Government increasing spending and/ or cutting taxes so that consumers in the economy have more money.

Contractionary policy is the opposite and involves Government spending reducing and/ or taxes increasing. Reducing the amount of Federal money available for education is a possible product of Contractionary fiscal policy.

Answer:

the amount of federl money B

Step-by-step explanation:

( 1 + 1 ) + ( 1 + 1 + 1 ) in standard form

Answers

Answer:

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

Step-by-step explanation:

literally impossible to put in standard form

Based on the given segment lengths, determine whether the segments can form a triangle.

11.5,10.5, 6.1
9.5, 3.5, 4.5
8, 6.7, 1
8, 6.7, 9.8
5, 6, 8
9.5, 7.5, 8.5

Answers

For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:

1. 11.5 + 10.5 = 22, 22> 6.1

11.5 + 6.1 = 17.6 17.6 > 10.5

10.5 + 6.1 = 16.6, 16.6 > 11.5

This one can make a triangle.

2. 9.5 + 3.5 > 4.5

9.5 + 4.5 > 3.5

4.5 + 3.5 < 9.5

Cannot make a triangle.

3. 8 + 6.7 > 1

6.7 + 1 < 8

Cannot make a triangle.

4. Can make a triangle

5. Can

6. Can

Can form triangle : 11.5,10.5, 6.1 & 8, 6.7, 9.8 & 5, 6, 8 & 9.5, 7.5, 8.5

Can not form triangle : 9.5, 3.5, 4.5 & 8, 6.7, 1

                             

What is triangle inequality theorem ?

If sum of any two line segments is greater than the third line segment, then we can say that, they can make a triangle.

How to know which sets form triangle ?

1st problem,

The given line segments are 11.5, 10.5, 6.1

Now, 11.5+10.5 = 22 > 6.1

10.5+6.1 = 16.6 > 11.5

11.5+6.1 = 17.6 > 10.5

So, this three segments can form triangle.

2nd problem,

The given line segments are 9.5, 3.5, 4.5

Now, 9.5+3.5 = 13 > 4.5

9.5+4.5 = 14 > 3.5

4.5+3.5 = 8 < 9.5

Here triangle inequality rule isn't applicable.

So, it can not form triangle.

3rd problem,

The given line segments are 8, 6.7, 1

Now, 8+6.7 = 14.7 > 1

8+1 = 9 > 6.7

6.7+1 =7.7 < 8

Here triangle inequality rule isn't applicable.

So, it can not form triangle.

4th problem,

The given line segments are 8, 6.7, 9.8

Now, 8+6.7 = 14.7 > 9.8

8+9.8 = 17.8 > 6.7

6.7+9.8 = 16.5 > 8

So, this three segments can form triangle.

5th problem,

The given line segments are 5, 6, 8

Now, 5+6 = 11>8

5+8 = 13 > 6

6+8 = 14 > 5

So, this three segments can form triangle.

6th problem,

The given line segments are 9.5, 7.5, 8.5

Now, 9.5+7.5 = 17 > 8.5

9.5+8.5 = 18 > 7.5

7.5+8.5 = 16 > 9.5

So, this three segments can form triangle.

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missing fraction please​

Answers

Answer:

4/10

Step-by-step explanation:

You ignore the bottoms so you will need to subtract the3 from the 7 getting you 4.

Now you can put the 4 back on top of the 10 so you will have a fraction, 4/10 :)

Have a great day!!

Please rate and mark brainliest!!

If Sarah has 20 cookies but 40 friends and 2 are lactose intolerant what should she do to satisfy all of her friends?

Answers

Answer: split the cookies in half and throw 1 cookie away

Step-by-step explanation: This question is not too specific so i cannot answer it to my full capacity but if there are 40 and 20 cookies split them and if 2 of those friends cannot eat it you can play a game to see who gets those pieces of cookies or throw them away or eat them yourself.

36 new kittens were brought to the animal shelter in Houston in one day. The shelter did not want all 36 of the new kittens in a pen, and they also wanted more than 2 kittens to be together. How could they group the new kittens? You will select two answer choices.

Answers

Answer:

12 kittens in 3 pens

4 kittens in 8 pens

Step-by-step explanation:

12x3=36

4x8=36

4 is more than 2

12 is more than 2

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Answer:

An option:  Group the kittens by 3, so there will be 12 groups in total.

Another option: Group the kittens by 4, so there will be 9 groups in total.

PLEASE GIVE BRAINLIEST!

X - 5<3 OR x – 5 > 8

Answers

Answer: the first one is x < 8 and the second one is x > 13

Step-by-step explanation: so is prolly the second one

Determine if the relationship in the table is proportional X-3,12,5,7,9 Y-12,20,21,36

Answers

Answer:

No

Step-by-step explanation:

The numbers skip around here and there. The increase isn't uniform

In a market for pink salmon, other things being equal, the relation between price and quantity demanded can be described by Qd=60-P, while the relation between price and quantity supplied can be described by Qs=20+4P.

Answers

i don’t know the answer sorry , i just need to answer a question so i can be able to make questions.

What is the equation of the line that passes through the point (-6,3) and has a slope of -2/3?​

Answers

Answer:

[tex]y = -\frac{2x}{3} - 1[/tex]  

I hope this helps!

Is it possible to draw a quadrilateral that is not a rectangle but has at least one right angle?

Answers

The answer is yes.

Explanation :

The only requirement for a quadrilateral is that it has four sides. It is not necessary for them to be equal sides. This implies that as long as the angles total up to 360, you may have any angles you desire.

Answer: Triangle or Square

Step-by-step explanation:

Each have one right angle

PLEASE HELP FAST triangle abc is translated 4 units down and 6 units right, resulting in triangle A’B’C’

Answers

Answer:

D. (6,-1)

Step-by-step explanation:

Translating is just sliding slide the point B down 4 units from where it is and then move over 6 units to the right.

Which statement about numbers is true?

A. All integers are Natural numbers
B. All rational numbers are Integers
C. All natural numbers are whole numbers
D. All rational number are Natural numbers

Answers

Answer:

C, I hope this is correct or this will be embarrassing but everyone have a good day

Step-by-step explanation:

The statement about numbers is true "All natural numbers are whole numbers" which is the correct answer that would be an option (C).

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

The natural number now includes all positive integers from 1 to infinity.

Natural numbers include 1, 2, 3, 4, 5, and so on.

Whole numbers now include all positive integers from 0 to infinity.

The whole number is 0, 1, 2, 3, 4, 5, and so on.

As can be seen, every natural number are the whole number

Hence, the statement about numbers is true "All natural numbers are whole numbers"

Therefore, the correct answer would be an option (C).

Learn more about the number system here:

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a drama club sells tickets to a performance. The cost is $1 for each adult and students are free.
What is the total cost for 2 adults and 4 students?

Answers

Answer:

$2

Step-by-step explanation:

2 adults x $1 = $2

4 adults x $0 = $0

$0 + $2 = $2

Given the costs for several of the same grocery items in two countries find the rate of the total cost for these item in the united kingdom to that of the total cost of items in Canada

Answers

Rates are used to compare related quantities such as costs of items in two countries

How to determine the ratio

The question is incomplete;

So, I will give a general explanation on how to calculate the rate.

Assume that the costs are:

United Kingdom = 500

Canada = 750

The ratio would be:

Ratio = United Kingdom : Canada

So, we have:

Ratio = 500 : 750

Simplify

Ratio = 2 : 3

Express as rate

Rate = 2/3

Using the assumed values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Canada is 2/3

Read more about rates at:

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• What is the difference in the graph of a less/greater and a less than or = in a Inequalities with Quadratics

Answers

Essentially the greater/less than shows the range of the values that are accepted or rejected + not to forget that points that lie on the parabola are rejected solutions, since i want the solutions that are strictly greater than/less than these points

If the equation suggests that it might be also equal, then the points that lie of the the parabola are also accepted solutions, since they belong to our interval [Hence the =]

If you help me solve b. I will give you brainlst please fill out the blanks :)

Answers

Answer:

for the top, it is 120n-150=45n

The bottom is 75

Step-by-step explanation:

Hope this helps!! ;-)

∠A and ∠B are supplementary. The measure of ∠A is 87°.

What is the measure of ∠B?

Enter your answer in the box.
Point theif = ban

Answers

Answer: The answer is BCD is 77 degree

Step-by-step explanation:

Answer:

∠B = 93°

Step-by-step explanation:

Supplementary angles are such pairs that sum up to 180°. In this case, we are given that ∠A and ∠B are supplementary. This means that the sum of ∠A and ∠B is 180°.

⇒ ∠A + ∠B = 180°

⇒ 87 + ∠B = 180°

⇒ ∠B = 180 - 87

∠B = 93°

can someone answer this question plsss I need it now!!!!!​

Answers

Answer:

First one: 55 minutes

Second one: 50 minutes

Third one: 45 minutes

Fourth one: 1 hour and 5 minutes

Fifth one: 40 minutes

Hope this helps!

HELPP PLEASE!!!!!

PYRAMIDS Hermán is building a pyramid out of
blocks for an engineering class. On the top level,
there is one block. In the second level, there are
5 blocks. In the third, there are 9 blocks. This
pattern continues for the rest of the levels down to
the 18th level at the base of the pyramid. Use this
information to determine how many blocks will be
in the 13th level of the pyramid.
41 blocks
A.
B.
45 blocks
C.
49 blocks
D.
53 blocks

Answers

Answer:

I think C 45 blocks are the right answer.

Answer: B 45

Step-by-step explanation: bc 9 x 5 +45

How does the graph below change between point A and point B?

Answers

d, the last answer. the graph increases, then decreases.


What is the scale factor from A to B? Be sure to simplify:

Answers

Answer:

1 : 4

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , that is

4 : 16 = 1 : 4

Lena is reading a book. The product of the two page numbers facing each other is 5852. What is the sum of the two pages?

Answers

Answer:

first page is 12, and the facing page is 13.

Step-by-step explanation:

The pages are facing each other, so they are consecutive numbers:

Let x = the first page number

y = the second page number

The second page number is just 1 more than the first, because they are consecutive numbers:

x+1 = y

We also know that the products of the numbers is equal to 156:

xy = 5852

Now we will sub y = x+1 into the second equation:

x(x+1) = 5852

x^2 + x = 5852

x^2 + x - 5852 = 0

Factoring (or using the quadratic formula) gives us:

(x+13)(x-12) = 0

x = - 13, or x = 12.

A page number can't be negative, so we will choose x=12.

This means that the second page must be page 13.

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