求sin(-1200°)×cos1290°+cos9-1020°)×sin(-1500°)+tan95°
问题描述:
求sin(-1200°)×cos1290°+cos9-1020°)×sin(-1500°)+tan95°
答
sin(-1200°)×cos1290°+cos(-1020°)×sin(-1500°)+tan95°
=sin(-1200°+1080°)×cos(1080°+210°)+cos(-1020°+1080°)×sin(-1500°+1440°)+tan95°
=sin(-120°)×cos(210°)+cos60°×sin(-60°)+tan95°
=-sin120°×cos(180°+30°)-cos60°×sin60°+tan95°
=sin60°cos30°-cos60°×sin60°+tan95°
=√3/2*√3/2-1/2×√3/2+tan95°
=3/4-√3/4+tan95°