1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren2701 [21]
3 years ago
14

Find the expansion of cos x about the point x=0

Mathematics
1 answer:
ycow [4]3 years ago
8 0

Answer:

Cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{1!} + ...

Step-by-step explanation:

We use Taylor series expansion to answer this question.

We have to find the expansion of cos x at x = 0

f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x

Now we evaluate them at x = 0.

f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1

Now, by Taylor series expansion we have

f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)(x-a)^2}{2!} + \frac{f'''(a)(x-a)^3}{3!} + \frac{f''''(a)(x-a)^4}{4!} + ...

Putting a = 0 and all the values from above in the expansion, we get,

Cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{1!} + ...

You might be interested in
What is 3 divided by 15
VikaD [51]
3/15 = 1/5
Answer;  1/5
7 0
3 years ago
Read 2 more answers
Simplify the following expression: 3m-5n+6m-8n
vichka [17]

3m - 5n + 6m - 8n \\ 3m + 6m - 5n - 8n \\ 9 m- 13n

5 0
2 years ago
Read 2 more answers
I need help please. Only answer if you know
Wewaii [24]

Answer:

57

Step-by-step explanation:

first do what is in the brackets then the parentheses, then multiply the 3

7 0
3 years ago
Read 2 more answers
Hdndnndndndndnndndndndnbd
ipn [44]

Answer:

Hshushahhahaa

Hdhddjkddjdkjd

8 0
3 years ago
Given there's 5 red balls and 2 blue balls. What's the probability that after two picks we have a red ball and a blue ball
Svetach [21]

Answer:

the answer is 58 dear because there he couldn't figure out what he meant

5 0
2 years ago
Other questions:
  • Add parentheses to make this equation true 4+8-2×3-7=15
    10·2 answers
  • When i double my number and add eight i get my number plus twelve whats mynumber
    11·1 answer
  • The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hour. Based on the graph, what
    9·1 answer
  • A one year membership to metro gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equat
    11·1 answer
  • The Volunteer Club raked leaves at several senior citizens’ homes in the neighborhood. If each group of three students could rem
    6·1 answer
  • Select the correct answer.
    12·1 answer
  • Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write 2 equations that could be used to solve for missing lengths?
    14·1 answer
  • 2,11,20 find the t15
    6·1 answer
  • Here’s the next problem:)
    7·2 answers
  • 1. Find the measurement of angle J.<br><br> 2. (5x - 13) (3x + 17)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!