sin7x - sin3x
cos 7x - cos3x

Sin7x - Sin3xcos 7x - Cos3x

Answers

Answer 1

Answer:

= -cot5x

Step-by-step explanation:

sin7x - sin3x = sin(5x + 2x) - sin(5x - 2x)

= [sin5x cos2x + cos5x sin2x] - [sin5x cos2x - cos5x sin2x]

= 2 cos5x sin2x

cos7x - cos3x = cos(5x + 2x) - cos(5x - 2x)

= [cos5x cos2x - sin5x sin2x ] - [cos5x cos2x + sin5x sin2x]

= -2 sin5x sin2x

so

(sin7x - sin3x)/(cos7x - cos3x)

= -cos5x/sin5x = -cot5x


Related Questions

How do you write a half of ten thousandths of an inch?

Answers

Answer:

you just did so I don't know what you mean

Step-by-step explanation:

magic

Nikke has a set of 5 cards numbered 1 through 5. She shuffles the cards at random she repeats the process several times and records the results in the table below based on her results what is the experimental probability of choosing a 1?

Answers

Answer:

20%

Step-by-step explanation:

If mR = 2x2 - 7°, mS = 4x2 - 6x + 40°, and mT = 18x + 3°, what is mR?
A.
11°
B.
43°
C.
25°
D.
65°

Answers

Answer:

its C

Step-by-step explanation:

LA
KIUNUL
1
1
1
2.49
2.49
8.99
1
ICE TEA
ICE TEA
CHICKEN, SAND
Rib Sauce
French Fries
CHILI CHEESE DOG
Homemade Coleslaw
(NO BREAD)
(< SEE SERVER>>)
Sub Total
6.49
.69
: 21.15
1. You need to pay 6% tax on your subtotal. How much will
you pay in tax?
2. What is your new total?
M

Answers

Answer:

6

Step-by-step explanation:

You have a credit card that has a balance of $3850 at an APR of 13.99%. You plan to pay $300 each month in an effort to clear the debt quickly. How many months will it take you to pay off the balance?

Answers

Answer:

  about 14 months

Step-by-step explanation:

Questions regarding loan payments, values, interest amounts, number of payments, and so on, are conveniently answered by the financial formulas available in many apps, calculators, and spreadsheets. Here, we want to solve for the number of payments.

__

The time-value-of-money app on a TI-84 calculator tells us the number of monthly payments is 13.98. It will take about 14 months to pay off the credit card balance.

__

Alternate solutions

You can also use a graphing calculator to find the time value needed in the amortization formula that corresponds to a monthly payment amount of $300 on a loan of $3850 at 13.99% interest compounded 12 times per year. This is shown in the second attachment.

The algebraic solution is a little messy, and involves logarithms, but you can solve it that way, too.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

gives the monthly payment A on a loan of principal P at annual rate r compounded n times per year for t years. We want to find the value of nt for P=3850, A=300, r=0.1399, n=12.

Putting in the numbers, we get ...

  300 = 3850(0.1399/12)/(1 -(1 +0.1399/12)^(-nt))

  (1.011658333...)^(-nt) = 0.8503847222... . . . . isolate nt term

  nt = -log(0.8503857222...)/log(1.011658333...) ≈ 13.982213...

3/4 divided by 1/5 and explaining please

Answers

Answer:

3.75 or 3 3/4

Step-by-step explanation

Ok the denominators aren't the same so were going to make them the same by them changing into the same number.

we can do thins by timesing 5 by 4=20 and 4 timesing by 5=20

So now that the denominators are the same we have to times 1 by 4 since it denominator was times by same thing with 3 except that only get times by 5.

1 x 4=4 and 3 x 5=15 so now our two fractions are 15/20 and 4/20

15 divided by 4=3.75 and there's our answer.

we get the .75 because it is 3 more so 3 4 x3 =12 that's where we get 3 and then there is 3 left and 3/4 of and 3/4=0.75 and then you combined them to make 3.75.

hope it helps have a great afternoon  

Pyramid A with height 8 has lateral edges of length 10. Pyramid B with height 12 has lateral edges of 15. Both A and B are regular square pyramids. What is the ratio of the heights of the pyramid?

Answers

Answer:

8:12

Step-by-step explanation:
The heights of both the pyramids are stated in the question so...
Pyramid A height: 8
Pyramid B height: 12

The ratio is (pyramid A : pyramid B) so our final answer should be...
8:12

implify 7xy + 8x - 5xy - 6x

Answers

Answer:

[tex]2x(y+1)[/tex]

Step-by-step explanation:

[tex]7xy+8x-5xy-6x\\\\2xy+2x\\\\2x(y+1)[/tex]

Answer:

2xy+2x

Step-by-step explanation:

Divide the product of 5/7 and -13/25 by the sum of 4/15 and -7/50.​

Answers

Step-by-step explanation:

From the question above one can put down an expression as;

(5/7 × -13/25) ÷ (4/15 + (-7/50))

-13/35 ÷ 19/150

-13/35 × 150/19

-390/133

Pls help need asap!!

Answers

Answer:

12 1/4 or 49/4

Step-by-step explanation:

3 1/2= 7/2 so 7/2×7/2=49/4= 12 1/4

Which of the binomials below is a factor of this trinomial?

x^2 + 14x + 40

A. x + 4

B. x^2 + 4

C. x + 10

D. x - 9

Answers

Answer:

A , C

Step-by-step explanation:

x² + 14x + 40 = ( x + 4 )( x + 10 )

main formula: x² + ( a + b )x + ab = ( x + a )( x + b )

select the digit in the thousands place for 689,234​

Answers

Answer:

The answer is 9

Step-by-step explanation:

600,000, 50,000, 9,000, 200, 30, 4

Answer:

The remaining number in thousands units is 9

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Topic 7
Performance Task
Grade
Can Tabs Collected
6th
19 13
pounds
16
171
pounds
7th
8
8th
1
12- pounds
2

Answers

32 pounds

189 pounds

23 pounds

14 pounds

What is the area of the rectangle in square units? Explain how you found your answer.

Answers

Answer:

...........

Step-by-step explanation:

The probability of two candidates A and B passing an exam are 2/3 and 3/4 respectively find the probability only one will pass at least one will pass

Answers

Answer:

[tex]\rainbow{\rule{10000pt}{900000pt}}[/tex]

Express 38.43 as a percent

Answers

It’s 3,843% your welcome! :)
3,843% this is the answer your looking for

The measures of two complementary angles are 4x+6 and 5x+3. Find x.

Answers

4x + 6 + 5x + 3 = 90

9x +9 = 90

( Subtract 9 from 9 and 90 )

9x = 81

( Divide 9x and 81 by 9 )

x = 9

Hope this helps.

The initial number of carbon-14 atoms in the organism at death is
.

After 11,460 years, there will be
carbon-14 atoms in the organism.

After
years, there will be 24.298 carbon-14 atoms in the organism.

Answers

Answer:

5,730 years.

Step-11by-step explanation:

Answer:

The death is 500, there will be 125 carbon-14 atoms, and after 25,000 years.

Step-by-step explanation: I just did it in math edg. HAVE A GREAT DAY!!

Below is a diagram of a rabbit tunnel in the shape of a triangular prism.

What is the volume of the tunnel?

Answers

Answer: 412.5cm cubed

Step-by-step explanation:

Volume of a prism: area of base ( in this case it’s the triangle) times the height

First: half x 90 x 120 = 165

Then times the height

So, 164 x 2.5 = 412.5

The volume of the given pyramid will be 1.35m³.

 

What is a pyramid?

Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.

A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.

The volume of a pyramid is given by

Volume = (1/3)base²×height.

Volume = area of cross-section × length

Given,

Area of cross-section = area of the base (triangle)

Since the area of the triangle = (1/2)base×height

So,

Area of cross-section = (1/2)1.20×0.90 = 0.54 m²

So,

Volume of pyramid = 0.54 × 2.5 = 1.35 m³.

Hence " The volume of the given pyramid will be 1.35m³".

To learn more about pyramids,

https://brainly.com/question/17615619

#SPJ5

PLSSS HELP ME!! I'll give you 20 points and the brainlest answer.​

Answers

The answer should be this;
11.5(7) + 10.7 (8)= 166.1

166.1+ 85.6=251.7

Zach throws a ball upward so that it follows the equation
y= 16x^2 + 64 +5 where y is the height of the ball and x is time.
How many seconds will it take for the ball to hit the ground?

Answers

Hey there!

=> y= 16x^2 + 64 +5

Let's obtain a formula for x

=> y= 16x^2 + 64 +5

=> y=16x^2+69

=> y - 69 = 16x^2

=> y - 69/16 = x^2

=> y - 4.3125 = x^2

=> x = √y - 4.3125

=> x = y - 2.08

Question error ಠ︵ಠ

Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three non-repeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?

Answers

Answer:

its a or the A135 one

Step-by-step explanation:

because the last 2 have a lower case or no letter and the second one is wrong for no reason so it has to be a or the 135

Answer:

A!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Given m|n, find the value of x.
+
(6x+5)°
(7x-4)

Answers

Answer: 9

Step-by-step explanation:

6x+5 = 7x-4 [alternate exterior angles theorem]5 = x - 4 [subtract 6x from both sides]9 = x [add 4 to both sides]

A student solved the equation sin2x/cos x = 2, 0 ≤ x ≤ pi, and got pi/2. What was the student's error?

Answers

Answer:

Step-by-step explanation:

Albeit cosine is undefined at , this discontinuity is evitable by canceling terms. The expression is equivalent to , which is continuous for all . According to this result, the student did not make a mistake. Answer was correct.

Answer:

See below

Step-by-step explanation:

Since [tex]cos(\frac{\pi}{2})=0[/tex], the denominator will be 0, and the result would be indeterminate.

Do not read on if you do not understand Calculus

However, notice that [tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}=2[/tex] by L'Hopital's Rule:

[tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}\\\\\frac{2cos(2x)}{-sin(x)}\\ \\\frac{2cos(2(\frac{\pi}{2}))}{-sin(\frac{\pi}{2} )}\\\\\frac{2cos(\pi)}{-1}\\ \\\frac{-2}{-1}\\ \\2[/tex]

You have just arranged for a $1,760,000 mortgage to finance the purchase of a large tract of land. The mortgage has an APR of 7.6 percent, and it calls for monthly payments over the next 25 years. However, the loan has an eight-year balloon payment, meaning that the loan must be paid off then. How big will the balloon payment be?

Answers

Answer:

  $1,500,257.38

Step-by-step explanation:

The balloon payment will be the balance on the loan after 8 years worth of payments have been made. The normal payment amount is the value calculated for a 25-year loan. A spreadsheet, financial calculator, or app can simplify this for you. In the attached, we have used the financial functions available on a TI-84 calculator.

The normal monthly payment will be $13,120.94.

After 8 years, the remaining balance will be $1,500,257.38. This is the size of the balloon payment.

In Springville, the probability that a football team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs, given that the
team goes to the city playoffs, is 0.35.
What is the probability that a randomly selected team from Springville goes to
the city and state playoffs?
O A. 0.15
B. 0.55
O C 0.07
D. 0.70

Answers

Using conditional probability, it is found that the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:

C 0.07

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

In this problem, the events are:

Event A: City playoffs.Event B: State playoffs.

The given probabilities are P(A) = 0.2, P(B|A) = 0.35, hence the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:

[tex]P(A \cap B) = P(A)P(B|A) = 0.2(0.35) = 0.07[/tex]

Hence option C is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

Answer:0.09

Step-by-step explanation:

1.5 > 0.75x + 1
what is x

Answers

Answer:

2/3 > x

Step-by-step explanation:

0.5 > 0.75x

2/3 > x

3 and <4 are supplementary. If the m<3 = 13° what is the measure of <4?

Answers

Answer:

Well supplementary means that both the angles add up to 180

We know that the measure of angle 3 is 13 degrees.
The measure of angle 4 is unknown
And the total of angles 3 and 4 are 180.
So you can make an equation

13 + x = 180
Solve for x

x= 167

Measure of angle 4 is 167

m< 4 = 167 degrees

Order the fractions from least to greatest. 2 9 , 4 5 , 5 18 , 9 16 A) 2 9 , 5 18 , 9 16 , 4 5 B) 5 18 , 2 9 , 4 5 , 9 16 C) 2 9 , 4 5 , 5 18 , 9 16 D) 9 16 , 5 18 , 4 5 , 2 9

Answers

Answer:

c

Step-by-step explanation:

the first number of every fraction represents the whole number of the group.

Answer:

C hope it helps

Step-by-step explanation:

Please Help! Locks in 15 minutes! I will Give brainlest and 5 star review!

Answers

I wrote out my work, answer is the 3rd one down. (Also answer is written on the bottom of the sheet)
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