来自马国敬的问题
已知tana=√3(1+m)且√3(tana·tanb+m)+tanb=0ab为锐角a+b的值为?
已知tana=√3(1+m)且√3(tana·tanb+m)+tanb=0ab为锐角a+b的值为?
1回答
2020-09-05 07:35
已知tana=√3(1+m)且√3(tana·tanb+m)+tanb=0ab为锐角a+b的值为?
已知tana=√3(1+m)且√3(tana·tanb+m)+tanb=0ab为锐角a+b的值为?
tana=√3(1+m)
tanb=-√3(tana·tanb+m)
tana+tanb=√3(1+m)-√3(tana·tanb+m)
=√3(1-tana·tanb)
tan(a+b)=(tana+tanb)/(1-tana*tanb)=√3
ab为锐角,a+b=60°