sin13°cos17°-sin103°cos107°= cos70°sin40°-sin70°cos40°=

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sin13°cos17°-sin103°cos107°= cos70°sin40°-sin70°cos40°=
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sin13°cos17°-sin103°cos107°= cos70°sin40°-sin70°cos40°=
sin13°cos17°-sin103°cos107°= cos70°sin40°-sin70°cos40°=

sin13°cos17°-sin103°cos107°= cos70°sin40°-sin70°cos40°=
利用诱导公式和两角和的正弦余弦公式即可
(1)
sin13°cos17°-sin103°cos107°
=sin13°cos17°-sin(90°+13°)cos(90°+17°)
=sin13°cos17°-cos13°(-sin17°)
=sin13°cos17°+cos13°sin17°
=sin(13°+17°)
=sin30°
=1/2
(2)
cos70°sin40°-sin70°cos40°
= sin40°cos70°-cos40°sin70°
= sin(40°-70°)
= sin(-30°)
= -sin30°
= -1/2