If \(A\) and \(B\) are the minimum and maximum values of
\[
\sin^6 x+\cos^6 x,
\]
then \(A+B=\)
Show Hint
For expressions involving \(\sin^6x+\cos^6x\), convert them using the identity \(a^3+b^3=(a+b)^3-3ab(a+b)\). Then use \(0\le\sin^2x\cos^2x\le\frac14\) to find the extrema.