Trig
posted by JungJung .
prove the identity
(sinX)^6 +(cosX)^6= 1  3(sinX)^2 (cosX)^2
sinX^6= sinx^2 ^3 = (1cosX^2)^3
= (12CosX^2 + cos^4) (1cosX^2)
then multiply that out
12CosX^2 + cos^4  cosX^2 + 2cos^4 cos^6
add that on the left to the cos^6, and combine terms..
13CosX^2 + 3cos^4
13cos^2x (icos^2 x)
then use the sin^2 x=1cos^2 x and you have it.
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