(sin a)/(1+cos a)=(1-cos a)/sin a怎么证sin a 1-cos a------ = -----------1+cos a sin a

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(sin a)/(1+cos a)=(1-cos a)/sin a怎么证sin a 1-cos a------ = -----------1+cos a sin a
(sin a)/(1+cos a)=(1-cos a)/sin a怎么证
sin a 1-cos a
------ = -----------
1+cos a sin a

(sin a)/(1+cos a)=(1-cos a)/sin a怎么证sin a 1-cos a------ = -----------1+cos a sin a
sina sina*(1-cosa) sina*(1-cosa) sina*(1-cosa) 1-cosa
----- = ------------------- = -------------------= ------------------= -----------
1+cosa (1+cosa)*(1-cosa) 1-(cosa)^2 (sina)^2 sina

sin a 1-cos a
------ = ----------- <== sin ^2a=1-cos^2a<= sin ^2a+cos^2a=1
1+cos a sin a