化简sin(π/4-α)+cos(π/4+α)

问题描述:

化简sin(π/4-α)+cos(π/4+α)

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)