Question

simplify:

sin^3 (t) + cos^3 (t)
_______________________
sin (t) + cos (t)

Answer 1

the dotted line means dividing

Answer 2

are you there?

Answer 3

yea im working on it

Answer 4

k thanks

Answer 5

do you want just answer or explanation too?

Answer 6

explanation plz

Answer 7

hello?

Answer 8

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

Answer 9

oh, a difference of cubes...

Answer 10

sooOOOOO.... \[\sin ^{3}t+\cos ^{3}t=(\sin t +\cos t)(\sin ^{2}t-\sin t \cos t+\cos ^{2}t)\]

Answer 11

divide thru the sin t + cos t

Answer 12

then you get \[\sin ^{2}t+\cos ^{2}t - \sin t \cos t= 1- \sin t \cos t\]

Answer 13

thats the final answer i think

Answer 14

yes, then we know that sin squared plus cos squared equals one

Answer 15

yep i see now, thanks!

Answer 16

medal plz

Answer 17

ty

Answer 18

deserved!