anonymous
  • anonymous
How do you factor sin^3x + cos^3x?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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myininaya
  • myininaya
Do you know how to factor a sum of cubes?
myininaya
  • myininaya
There is a cute formula for it.
myininaya
  • myininaya
\[a^3+b^3=(a+b)(a^2-ab+b^2)\]

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anonymous
  • anonymous
Looks cute lol thank you
myininaya
  • myininaya
lol. Do you know how to use it with the trig functions?
myininaya
  • myininaya
\[(\sin(x))^3+(\cos(x))^3=a^3+b^3 \]
myininaya
  • myininaya
should be easy for you to determine what is a and what is b.
myininaya
  • myininaya
if it isn't then let me know so i can explain further
anonymous
  • anonymous
I've got the equation down but what to do first?
anonymous
  • anonymous
Do I multiply what's in the parenthesis?
myininaya
  • myininaya
no
myininaya
  • myininaya
tell me what a is and what b is based on what I wrote above
anonymous
  • anonymous
A is sin and b is cos
myininaya
  • myininaya
\[(\sin(x))^3+(\cos(x))^3=a^3+b^3 \]
myininaya
  • myininaya
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
anonymous
  • anonymous
I did :)
myininaya
  • myininaya
ok then you are done sir
myininaya
  • myininaya
\[a^3+b^3=(a+b)(a^2-ab+b^2) \] everywhere we seen an a we put sin(x) everywhere we seen a b we put cos(x)
anonymous
  • anonymous
Thanks!
myininaya
  • myininaya
np :)
anonymous
  • anonymous
I will have another question in a moment
myininaya
  • myininaya
k

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