解:sin13°cos17°+sin77°sin17°
=sin13°cos17°﹢sin(90°﹣13°﹚sin17°
=sin13°cos17°﹢cos13°sin17°
=sin(13°﹢17°)
=sin30°
=1/2
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原式=sin13cos17+cos13sin17
=sin(13+17)
=sin30
=1/2
sin13°cos17°+cos13°sin17°
=sin(13°+17°)
=sin30°
=1/2
sin77°=cos13°
所以所求=sin13°cos17°+cos13°sin17°=sin30°=1/2
原式=cos77cos17+sin77sin17=cos(77-17)=cos60=0.5