cosα-sinα=3√ 2/5
(cosα-sinα)^2 = 18/25
1 -2sinαcosα = 18/25
2sinαcosα = 1 - 8/25 = 7/25
sin2α+2sin^2α/tanα
= 2sinαcosα+2sin^2α/(sinα/cosα)
= 2sinαcosα+2sinαcosα
= 2*sinαcosα
= 2*7/25
= 14/25
cosα-sinα=3√ 2/5
(cosα-sinα)^2 = 18/25
1 -2sinαcosα = 18/25
2sinαcosα = 1 - 8/25 = 7/25
sin2α+2sin^2α/tanα
= 2sinαcosα+2sin^2α/(sinα/cosα)
= 2sinαcosα+2sinαcosα
= 2*sinαcosα
= 2*7/25
= 14/25