求值 sin(-1320°)cos1110°+cos(-1020°)sin750°+cos495°

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 15:13:31

求值 sin(-1320°)cos1110°+cos(-1020°)sin750°+cos495°
求值 sin(-1320°)cos1110°+cos(-1020°)sin750°+cos495°

求值 sin(-1320°)cos1110°+cos(-1020°)sin750°+cos495°
sin(-1320°)cos1110°+cos(-1020°)sin750°+cos495°
=sin(-180x8+120)cos(180x6+30)+cos(-180x6+60)sin(4x180+30)+cos(2x180+135)
=sin120cos30+cos60sin30+cos135
=3/4+1/4-√2/2
=1-√2/2

利用诱导公式,原式=-sin60*cos30+cos60*sin30+cos135=-sin30-cos45