求2sin(-1110°)-sin960°+√2cos(-225°)+cos(-210°)详细步骤,
问题描述:
求2sin(-1110°)-sin960°+√2cos(-225°)+cos(-210°)详细步骤,
答
2sin(-1110°)-sin960°+√2cos(-225°)+cos(-210°)
=2sin(-1080°-30º)-sin(720°+240º)+√2cos225°+cos210°
=-2sin30º-sin(180º+60º)+√2cos(180º+45°)+cos(180º+30°)
=-1 +sin60º-√2cos45°-cos30°
=-1+√3/2-1-√3/2=-2