tana⼀2=sina⼀1+cosa 推导

拜托各位正着推
2024-12-17 05:59:30
推荐回答(3个)
回答1:

∵ tana/2=(sina/2)/(cosa/2)
=2 [(sina/2)× (cosa/2)]/2cos2(a/2)
= sina/2(cosa/2)2 ∵ cosa = 2cos2(a/2)-1
∴tana/2= sina/2(cosa/2)2 = sina/ 1+ cosa

回答2:

tana/2=(sina/2)/(cosa/2)=(2sina/2 *cosa/2)/[2(cosa/2)^2]=sina /1+cosa

回答3:

tan(a/2)
=sin(a/2)/cos(a/2)
=2sin(a/2)cos(a/2)/2cos(a/2)^2
=sin(a)/(cos(a/2)^2+sin(a/2)^2+cos(a/2)^2-sin(a/2)^2)
=sin(a)/(1+cos(a))