化简sin(π/4+a)cosa-sin(π/4-a)sina=

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化简sin(π/4+a)cosa-sin(π/4-a)sina=
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化简sin(π/4+a)cosa-sin(π/4-a)sina=
化简sin(π/4+a)cosa-sin(π/4-a)sina=

化简sin(π/4+a)cosa-sin(π/4-a)sina=
sin(π/4+a)cosa-sin(π/4-a)sina
=cos[π/2-(π/4+a)]cosa-sin(π/4-a)sina
=cos(π/4-a)cosa-sin(π/4-a)sina
=cos(π/4-a+a)
=√2/2

原式=sin[π/2-(π/4-a)]cosa-sin(π/4-a)sina
=cos(π/4-a)cosa-sin(π/4-a)sina
=cos(π/4-a+a)
=cosπ/4=二分之根号二