ТРИГОНОМЕТРИЯ
2cos(α-2π)-sin(α-π/2)
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cos(9π/2)+2sin(2π-α)
2cos(α-2π)-sin(α-π/2)
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cos(9π/2)+2sin(2π-α)
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Cos(α+2π)=cosα,sin(αα α-π/2)=-sin(π/2 -α) = -cosα.
2cosα-(-cosα)=3cosα - это числитель.
cos(9π/2 -α) =cos(4π + π/2 -α)= cos(π/2 -α) = sinα.
sin(2π-α) = sin(-α) = -sinα,
sinα+2(-sinα) = -sinα -это знаменатель.
3cosα / (-sinα) = -3 ctgα.