sin315sin(-1215) cos570sin(-840)=
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sin315°sin(-1215°) cos570°sin(-840°)=sin315°sin1215°cos570°sin840°
=sin(360°-45°)sin(3×360°+135°)cos(360°+210°)sin(720°+120°)
=-sin45°sin135°cos210°sin120°
=-sin45°sin(180°-45°)cos(180°+30°)sin(180°-60°)
=-sin45°sin45°(-cos30°)sin60°
=(√2/2)²(√3/2)²=(1/2)(3/4)=3/8.
=sin(360°-45°)sin(3×360°+135°)cos(360°+210°)sin(720°+120°)
=-sin45°sin135°cos210°sin120°
=-sin45°sin(180°-45°)cos(180°+30°)sin(180°-60°)
=-sin45°sin45°(-cos30°)sin60°
=(√2/2)²(√3/2)²=(1/2)(3/4)=3/8.
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