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(cosα-sinα)²=(-√5/5)²1-2sinαcosα=1/52sinαcosα=4/5 sin2α=4/5 cos2α=3/5 cos2α=2cos²α-1 cosα=2√5/5(2sinαcosα-cosα+1)/(1-tanα)=cosα(2sinαcosα-cosα+1)/(cosα-sinα)=2√5...