求cos(20°+x)cos(25°-x)- cos(70°-x)* sin(25°-x)

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求cos(20°+x)cos(25°-x)-cos(70°-x)*sin(25°-x)求cos(20°+x)cos(25°-x)-cos(70°-x)*sin(25°-x)求cos(20°+x)cos

求cos(20°+x)cos(25°-x)- cos(70°-x)* sin(25°-x)
求cos(20°+x)cos(25°-x)- cos(70°-x)* sin(25°-x)

求cos(20°+x)cos(25°-x)- cos(70°-x)* sin(25°-x)
cos(20°+x) = sin(70°-x)
cos(25°-x) = -cos(155°+x)
原式
= -(sin(70°-x)cos(155°+x)+cos(70°-x)sin(155°+x))
= -(sin(70°-x+155°+x))
= -sin225°
= sin45°
= 根号2 / 2