(sinα+cosα)^2化简

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(sinα+cosα)^2化简(sinα+cosα)^2化简(sinα+cosα)^2化简(sinα+cosα)^2=(sinα)^2+(cosα)^2+2sinαcosα=1+2sinαcosα=1

(sinα+cosα)^2化简
(sinα+cosα)^2化简

(sinα+cosα)^2化简
(sinα+cosα)^2
=(sinα)^2+(cosα)^2+2sinαcosα
=1+2sinαcosα
=1+sin2α

(sinα+cosα)^2=1+sin2a

1+2sinacosa=1+sin2a

(sinα+cosα)^2=(sinα)^2+(cosα)^2+2sinαcosα=1+sin2α