怎样将tan(π/4-α)化为cos(π/4+α)/sin(π/4+α)?练习册上写的步骤.没看懂...

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怎样将tan(π/4-α)化为cos(π/4+α)/sin(π/4+α)?
练习册上写的步骤.没看懂...

tan(π/4-α)
=tan(π/2-(π/4+α))
=cot(π/4+α)
=cos(π/4+α)/sin(π/4+α)