化简sin(80°+3α)cos(35°+α)-cos(80°﹢3α﹚sin﹙35°﹢3α﹚

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化简sin(80°+3α)cos(35°+α)-cos(80°﹢3α﹚sin﹙35°﹢3α﹚
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化简sin(80°+3α)cos(35°+α)-cos(80°﹢3α﹚sin﹙35°﹢3α﹚
化简sin(80°+3α)cos(35°+α)-cos(80°﹢3α﹚sin﹙35°﹢3α﹚

化简sin(80°+3α)cos(35°+α)-cos(80°﹢3α﹚sin﹙35°﹢3α﹚
sin(80°+3α)cos(35°+α)-cos(80°﹢3α﹚sin﹙35°﹢3α﹚
=sin[(80°+3α)-(35°+α)]
=sin(80°+3α-35°-α)]
=sin(45°+2α)