sinA/(1+cosA)怎么化成tan(A/2)?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/20 01:49:43
sinA/(1+cosA)怎么化成tan(A/2)?
x)+s0N/v|dgӞi:&$i8i$LΆ<"F@1 ֏66qt cq*DRUS\a_\gu C4 n3su q*DRE9

sinA/(1+cosA)怎么化成tan(A/2)?
sinA/(1+cosA)怎么化成tan(A/2)?

sinA/(1+cosA)怎么化成tan(A/2)?
sinA/(1+cosA)
=2sin(A/2)cos(A/2)/[1+2cos(A/2)^2-1]
=2sin(A/2)cos(A/2)/[2cos(A/2)^2]
=sin(A/2)/cos(A/2)
=tan(A/2)

sinA/(1+cosA)
=2sin(A/2)cos(A/2)/(1+2cos^2(A/2)-1)
=2sin(A/2)cos(A/2)/2cos^2(A/2)
=sin(A/2)/cos(A/2)
=tan(A/2)