化简sin(π/4-α)+cos(π/4+α)
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化简sin(π/4-α)+cos(π/4+α)
![化简sin(π/4-α)+cos(π/4+α)](/uploads/image/z/4546382-14-2.jpg?t=%E5%8C%96%E7%AE%80sin%28%CF%80%2F4-%CE%B1%29%2Bcos%28%CF%80%2F4%2B%CE%B1%29)
sin(π/4-α)+cos(π/4+α)
=sin(π/4-α)+cos[π/2-(π/4-α)]
=sin(π/4-α)+sin(π/4-α)
=2sin(π/4-α)
=sin(π/4-α)+cos[π/2-(π/4-α)]
=sin(π/4-α)+sin(π/4-α)
=2sin(π/4-α)
化简sin(π/4-α)+cos(π/4+α)
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