(高一数学)已知cos(a+π/3)=5/13,0

问题描述:

(高一数学)已知cos(a+π/3)=5/13,0

画个三角形把sin(a+60度)算出,sina=sin(a+60度-60度)然后二倍角公式就算出来了,多动手

解:由题意可得
sin(a+π/3)=12/13
所以cosπ/6cos(a+π/3)-sinπ/6sin(a+π/3)
=cos(a+π/2)=-sina=-(3√5-12)/26
所以sina=(12-3√5)/26

π/3

3.14π