Для нахождения значений функции fxxx в данных точках подставим соответствующие значения угла x:
f000 = 4sin3<em>03<em>03<em>0 + 5cos3</em>03</em>03</em>0 - 2sin000 f000 = 4sin000 + 5cos000 - 2sin000 = 0 + 5*1 - 0 = 5
fπ/6π/6π/6 = 4sin3<em>π/63<em>π/63<em>π/6 + 5cos3</em>π/63</em>π/63</em>π/6 - 2sinπ/6π/6π/6 fπ/6π/6π/6 = 4sinπ/2π/2π/2 + 5cosπ/2π/2π/2 - 2sinπ/6π/6π/6 = 41 + 50 - 2*1/2 = 4 - 1 = 3
fπ/3π/3π/3 = 4sin3<em>π/33<em>π/33<em>π/3 + 5cos3</em>π/33</em>π/33</em>π/3 - 2sinπ/3π/3π/3 fπ/3π/3π/3 = 4sinπππ + 5cosπππ - 2sinπ/3π/3π/3 = 40 + 5−1-1−1 - 2*√3/2 = -5 - √3
fπππ = 4sin3<em>π3<em>π3<em>π + 5cos3</em>π3</em>π3</em>π - 2sinπππ fπππ = 4sin000 + 5cos000 - 2sinπππ = 0 + 5*1 - 0 = 5
Таким образом, f000 = 5, fπ/6π/6π/6 = 3, fπ/3π/3π/3 = -5 - √3, fπππ = 5.
Для нахождения значений функции fxxx в данных точках подставим соответствующие значения угла x:
f000 = 4sin3<em>03<em>03<em>0 + 5cos3</em>03</em>03</em>0 - 2sin000 f000 = 4sin000 + 5cos000 - 2sin000 = 0 + 5*1 - 0 = 5
fπ/6π/6π/6 = 4sin3<em>π/63<em>π/63<em>π/6 + 5cos3</em>π/63</em>π/63</em>π/6 - 2sinπ/6π/6π/6 fπ/6π/6π/6 = 4sinπ/2π/2π/2 + 5cosπ/2π/2π/2 - 2sinπ/6π/6π/6 = 41 + 50 - 2*1/2 = 4 - 1 = 3
fπ/3π/3π/3 = 4sin3<em>π/33<em>π/33<em>π/3 + 5cos3</em>π/33</em>π/33</em>π/3 - 2sinπ/3π/3π/3 fπ/3π/3π/3 = 4sinπππ + 5cosπππ - 2sinπ/3π/3π/3 = 40 + 5−1-1−1 - 2*√3/2 = -5 - √3
fπππ = 4sin3<em>π3<em>π3<em>π + 5cos3</em>π3</em>π3</em>π - 2sinπππ fπππ = 4sin000 + 5cos000 - 2sinπππ = 0 + 5*1 - 0 = 5
Таким образом, f000 = 5, fπ/6π/6π/6 = 3, fπ/3π/3π/3 = -5 - √3, fπππ = 5.