高一三角化简

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高一三角化简

高一三角化简
高一三角化简
 

高一三角化简
(1+tan(a/2))/(1-tan(a/2))
=cos(a/2)*(1+tan(a/2))/[cos(a/2)*(1-tan(a/2))]
=(cos(a/2)+sin(a/2))/(cos(a/2)-sin(a/2)) ①
=(cos(a/2)+sin(a/2))²/[(cos(a/2)-sin(a/2))*(cos(a/2)+sin(a/2))]
=(cos(a/2)+sin(a/2))²/[(cos(a/2)-sin(a/2))*(cos(a/2)+sin(a/2))] ②
=(1+2sin(a/2)cos(a/2))/(cos²(a/2)-sin²(a/2))
=(1+sina)/cosa