sinα-cosα=√2 平方
(sinα-cosα)²=2
sin²α-2sinαcosα+cos²α=2
1-2sinαcosα=2
2sinαcosα=-1
sinαcosα=-1/2
sin³α-cos³α
=(sinα-cosα)(sin²α+sinαcosα+cos²α)
=√2(1+sinαcosα)
=√2(1-1/2)
=√2/2