Question

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

Answer 1

Do you know how to factor a sum of cubes?

Answer 2

There is a cute formula for it.

Answer 3

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

Answer 4

Looks cute lol thank you

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

Do I multiply what's in the parenthesis?

Answer 11

no

Answer 12

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

Answer 13

A is sin and b is cos

Answer 14

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

Answer 15

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

Answer 16

I did :)

Answer 17

ok then you are done sir

Answer 18

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

Answer 19

Thanks!

Answer 20

np :)

Answer 21

I will have another question in a moment

Answer 22

k