已知cos(π-α)=8/17,求sin(α-5π),tan(3π+α)
问题描述:
已知cos(π-α)=8/17,求sin(α-5π),tan(3π+α)
答
cos(Pai-a)=-cosa=8/17,cosa=-8/17
sin(a-5Pai)=sin(a-Pai-4Pai)=sin(a-Pai)=-sina=土根号(1-(8/17)^2)=土15/17
tan(3Pai+a)=tana=sina/cosa=土15/8