1)sin5π/12sinπ/12的值是2)sin315°sin(-1260°)+cos570°sin(-840°)=?3)已知sin(π/2+a)=-4/5,a∈(π,3π/2),则cos(π/3-a)的值为?

问题描述:

1)sin5π/12sinπ/12的值是
2)sin315°sin(-1260°)+cos570°sin(-840°)=?
3)已知sin(π/2+a)=-4/5,a∈(π,3π/2),则cos(π/3-a)的值为?

=sinπ/12sinπ/12=1/12*1/12=1/144=-sin45°(-sin180°)+cos150°sin(-120°)=0+sin60°sin120°=3/4sin(π/2+a)=cosa=-4/5,cos(π/3-a)=cosπ/3*cosa+sinπ/3sina=1/2*(-4/5)+根号3/2*(-3/5)=-(4+3*根号3)/1...