化简tan(pai-a)/[sin(pai-a)*sin(3pai/2-a)]+sin(2pai-a)*cos(3pai/2-a)/[sin(3pai/2+a)*cos(2pai-a)]为什么我化到后面化不下去了?tana/(sina*cosa)+(sina*sina)/(-cosa*cosa)=tana/(sin2a/2)-(tana)^2=tana/(sin2a/2)?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 11:55:38
![化简tan(pai-a)/[sin(pai-a)*sin(3pai/2-a)]+sin(2pai-a)*cos(3pai/2-a)/[sin(3pai/2+a)*cos(2pai-a)]为什么我化到后面化不下去了?tana/(sina*cosa)+(sina*sina)/(-cosa*cosa)=tana/(sin2a/2)-(tana)^2=tana/(sin2a/2)?](/uploads/image/z/1801922-50-2.jpg?t=%E5%8C%96%E7%AE%80tan%28pai-a%29%2F%5Bsin%28pai-a%29%2Asin%283pai%2F2-a%29%5D%2Bsin%282pai-a%29%2Acos%283pai%2F2-a%29%2F%5Bsin%283pai%2F2%2Ba%29%2Acos%282pai-a%29%5D%E4%B8%BA%E4%BB%80%E4%B9%88%E6%88%91%E5%8C%96%E5%88%B0%E5%90%8E%E9%9D%A2%E5%8C%96%E4%B8%8D%E4%B8%8B%E5%8E%BB%E4%BA%86%3Ftana%2F%28sina%2Acosa%29%2B%28sina%2Asina%29%2F%28-cosa%2Acosa%29%3Dtana%2F%28sin2a%2F2%29-%28tana%29%5E2%3Dtana%2F%28sin2a%2F2%29%3F)
化简tan(pai-a)/[sin(pai-a)*sin(3pai/2-a)]+sin(2pai-a)*cos(3pai/2-a)/[sin(3pai/2+a)*cos(2pai-a)]为什么我化到后面化不下去了?tana/(sina*cosa)+(sina*sina)/(-cosa*cosa)=tana/(sin2a/2)-(tana)^2=tana/(sin2a/2)?
化简tan(pai-a)/[sin(pai-a)*sin(3pai/2-a)]+sin(2pai-a)*cos(3pai/2-a)/[sin(3pai/2+a)*cos(2pai-a)]
为什么我化到后面化不下去了?
tana/(sina*cosa)+(sina*sina)/(-cosa*cosa)=tana/(sin2a/2)-(tana)^2=tana/(sin2a/2)?
化简tan(pai-a)/[sin(pai-a)*sin(3pai/2-a)]+sin(2pai-a)*cos(3pai/2-a)/[sin(3pai/2+a)*cos(2pai-a)]为什么我化到后面化不下去了?tana/(sina*cosa)+(sina*sina)/(-cosa*cosa)=tana/(sin2a/2)-(tana)^2=tana/(sin2a/2)?
tana/(sina*cosa)+(sina*sina)/(-cosa*cosa)
=(sina/cosa)/(sina*cosa)+(sina*sina)/(-cosa*cosa)
=1/(cosa*cosa)+(sina*sina)/(-cosa*cosa)
=1/(cosa*cosa)-(sina*sina)/(cosa*cosa)
=(1-sina*sina)/(cosa*cosa)
=(cosa*cosa)/(cosa*cosa)
=1
原式=tana/sinacosa-sina*sina/cosa*cosa
=(sina/cosa)/sinacosa-tana*tana
=1/cosa*cosa-tana*tana
=seca*seca-tana*tana
=1