化简sin(α-2π)cos(3π/2-α)+tan(π-α)tan(π/2+α)+cos^2(π-α)

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化简sin(α-2π)cos(3π/2-α)+tan(π-α)tan(π/2+α)+cos^2(π-α)
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化简sin(α-2π)cos(3π/2-α)+tan(π-α)tan(π/2+α)+cos^2(π-α)
化简sin(α-2π)cos(3π/2-α)+tan(π-α)tan(π/2+α)+cos^2(π-α)

化简sin(α-2π)cos(3π/2-α)+tan(π-α)tan(π/2+α)+cos^2(π-α)
sin(α-2π)cos(3π/2-α)+tan(π-α)tan(π/2+α)+cos^2(π-α)
=-sinasina+tanacota+cos^2a
=cos^2a-sin^2a+1
=2cos^2(a)