sin3a/sina-cos3a/cosa=?

问题描述:

sin3a/sina-cos3a/cosa=?

由sin2a=2sina*cosa 和sin(a+b)=sinacosb+sinbcosa可得
sin3a=sin(2a+a)=sin2acosa+cos2asina=2sina*cosa cosa+cos2asina
所以sin3a/sina=2cosacosa+cos2a
由cos(a+b)=cosacosb-sinasinb可得
cos3a=cos(2a+a)=cos2acosa-sin2asina=cos2acosa-2cosasinasina
所以cos3a/cosa=cos2a-2sinasina
所以sin3a/sina-cos3a/cosa=2cosacosa+cos2a-cos2a+2sinasina
=2cosacosa++2sinasina
=2