化简f(x)=(1-√2*cos(2x-π/4))/sin(π/2-x)
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化简f(x)=(1-√2*cos(2x-π/4))/sin(π/2-x)
![化简f(x)=(1-√2*cos(2x-π/4))/sin(π/2-x)](/uploads/image/z/15704799-15-9.jpg?t=%E5%8C%96%E7%AE%80f%28x%29%3D%281-%E2%88%9A2%2Acos%282x-%CF%80%2F4%29%29%2Fsin%28%CF%80%2F2-x%29)
先看分子
1-√2*cos(2x-π/4)
=1-√2[cos2xcos(π/4)+sin2xcos(π/4)]
=1-cos2x-sin2x
=2sin²x-2sinxcosx
=2sinx(sinx-cosx)
分母=cosx
原式=2tanx(sinx-cosx)
1-√2*cos(2x-π/4)
=1-√2[cos2xcos(π/4)+sin2xcos(π/4)]
=1-cos2x-sin2x
=2sin²x-2sinxcosx
=2sinx(sinx-cosx)
分母=cosx
原式=2tanx(sinx-cosx)
化简f(x)=(1+√2*cos(2x-π/4))/sin(π/2-x)
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