Oblicz: 2(tg30-sin45) * (cos45-ctg60)
2(tg30 - sin45)*(cos45 - ctg60)=
= 2(V3/3 -V2/2)*(V2/2 -V3/3) =
= -2(V2/2 -V3/3(*(V2/2 -V3/3) =
= -2(V2/2 -V3/3)^2 =
= -2[(V2/2)^2 -2 *(V2/2)*(V3/3) + (V3/3)^2] =
= -2[2/4 - V(6/3) +3/9] =
= -2[(18/36 + 12/36 -V(6/9)] =
= -2[(30/36 -V(2/3)] =
= -2[5/6 - V(2/3)]
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2(tg30 - sin45)*(cos45 - ctg60)=
= 2(V3/3 -V2/2)*(V2/2 -V3/3) =
= -2(V2/2 -V3/3(*(V2/2 -V3/3) =
= -2(V2/2 -V3/3)^2 =
= -2[(V2/2)^2 -2 *(V2/2)*(V3/3) + (V3/3)^2] =
= -2[2/4 - V(6/3) +3/9] =
= -2[(18/36 + 12/36 -V(6/9)] =
= -2[(30/36 -V(2/3)] =
= -2[5/6 - V(2/3)]