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ChristopherW28 Group Title

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

  • 10 months ago
  • 10 months ago

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  1. myininaya Group Title
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    Do you know how to factor a sum of cubes?

    • 10 months ago
  2. myininaya Group Title
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    There is a cute formula for it.

    • 10 months ago
  3. myininaya Group Title
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    \[a^3+b^3=(a+b)(a^2-ab+b^2)\]

    • 10 months ago
  4. ChristopherW28 Group Title
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    Looks cute lol thank you

    • 10 months ago
  5. myininaya Group Title
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    lol. Do you know how to use it with the trig functions?

    • 10 months ago
  6. myininaya Group Title
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    \[(\sin(x))^3+(\cos(x))^3=a^3+b^3 \]

    • 10 months ago
  7. myininaya Group Title
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    should be easy for you to determine what is a and what is b.

    • 10 months ago
  8. myininaya Group Title
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    if it isn't then let me know so i can explain further

    • 10 months ago
  9. ChristopherW28 Group Title
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    I've got the equation down but what to do first?

    • 10 months ago
  10. ChristopherW28 Group Title
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    Do I multiply what's in the parenthesis?

    • 10 months ago
  11. myininaya Group Title
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    no

    • 10 months ago
  12. myininaya Group Title
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    tell me what a is and what b is based on what I wrote above

    • 10 months ago
  13. ChristopherW28 Group Title
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    A is sin and b is cos

    • 10 months ago
  14. myininaya Group Title
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    \[(\sin(x))^3+(\cos(x))^3=a^3+b^3 \]

    • 10 months ago
  15. myininaya Group Title
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    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

    • 10 months ago
  16. ChristopherW28 Group Title
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    I did :)

    • 10 months ago
  17. myininaya Group Title
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    ok then you are done sir

    • 10 months ago
  18. myininaya Group Title
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    \[a^3+b^3=(a+b)(a^2-ab+b^2) \] everywhere we seen an a we put sin(x) everywhere we seen a b we put cos(x)

    • 10 months ago
  19. ChristopherW28 Group Title
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    Thanks!

    • 10 months ago
  20. myininaya Group Title
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    np :)

    • 10 months ago
  21. ChristopherW28 Group Title
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    I will have another question in a moment

    • 10 months ago
  22. myininaya Group Title
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    k

    • 10 months ago
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