упростите выражение [tex]sin( \alpha - \frac{ \pi}{2} )*cos( \alpha -2 \pi )+2tg( \frac{3 \pi }{2}- \alpha )*sin( \pi - \alpha )*cos(4 \pi + \alpha )[/tex]
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-sin(π/2-a)*cos(2π-a)+2tg(3π/2-a)*sin(π-a)*cos(4π+a)==-cosa*cosa+2ctga*sina*cosa=-cos²a+2cosa/sina*sina*cosa=
-cos²a+2cos²a=cos²a