вычеслить sin30+√6*cos45*sin60-tg30*ctg150+ctg45

sin 30 ° + √6 * cos 45 ° * sin 60 ° - tg 30 ° * ctg 150 ° + ctg 45 ° =

1/2 + √6 * √2/2 * √3/2 - 1/√3 * ctg (180° - 30 °) + 1 =

1/2 + √6 * √6 * 1/4 - 1/√3 * ( - ctg 30°) + 1 =

1/2 + 6 * 1/4 + 1/√3 * ctg 30° + 1 =

1/2 + 6/4 + 1/√3 * √3 + 1 =

1/2 + 6/4 + 1 + 1 =

1/2 + 6/4 + 2 =

1/2 + 3/2 + 2 =

4/2 + 2 =

2 + 2 = 4.

Ответ: sin 30° + √6 * cos 45° * sin 60° - tg 30° * ctg 150° + ctg 45° = 4.