Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ChristopherW28

  • one year ago

How do you factor sin^3x + cos^3x?

  • This Question is Closed
  1. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know how to factor a sum of cubes?

  2. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    There is a cute formula for it.

  3. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[a^3+b^3=(a+b)(a^2-ab+b^2)\]

  4. ChristopherW28
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Looks cute lol thank you

  5. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lol. Do you know how to use it with the trig functions?

  6. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[(\sin(x))^3+(\cos(x))^3=a^3+b^3 \]

  7. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    should be easy for you to determine what is a and what is b.

  8. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if it isn't then let me know so i can explain further

  9. ChristopherW28
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I've got the equation down but what to do first?

  10. ChristopherW28
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do I multiply what's in the parenthesis?

  11. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no

  12. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    tell me what a is and what b is based on what I wrote above

  13. ChristopherW28
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A is sin and b is cos

  14. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[(\sin(x))^3+(\cos(x))^3=a^3+b^3 \]

  15. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok so just go to the other side of the formula and replace a with sin(x) and replace b with cos(x) and then you are done don't do nothing more

  16. ChristopherW28
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I did :)

  17. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok then you are done sir

  18. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[a^3+b^3=(a+b)(a^2-ab+b^2) \] everywhere we seen an a we put sin(x) everywhere we seen a b we put cos(x)

  19. ChristopherW28
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks!

  20. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np :)

  21. ChristopherW28
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I will have another question in a moment

  22. myininaya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    k

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.