Дано
$$6 cdot 2 n i 2 sin{left (34 s right )} – sin{left (82 right )}$$
Подстановка условия
$$6 cdot 2 n i 2 sin{left (34 s right )} – sin{left (82 right )}$$
((((2*sin(34*s))*(1/2))*n)*2)*6 – sin(82)
$$6 cdot 2 n (1/2) 2 sin{left (34 s right )} – sin{left (82 right )}$$
((((2*sin(34*s))/2)*n)*2)*6 – sin(82)
$$6 cdot 2 n frac{2}{2} sin{left (34 s right )} – sin{left (82 right )}$$
-sin(82) + 12*n*sin(34*s)
$$12 n sin{left (34 s right )} – sin{left (82 right )}$$
Степени
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Численный ответ
-0.313228782433085 + 24.0*i*n*sin(34*s)
Рациональный знаменатель
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Объединение рациональных выражений
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Общее упрощение
-sin(82) + 24*I*n*sin(34*s)
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Соберем выражение
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Общий знаменатель
-sin(82) + 24*I*n*sin(34*s)
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Комбинаторика
-sin(82) + 24*I*n*sin(34*s)
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Тригонометрическая часть
-sin(82) + 24*I*n*sin(34*s)
$$24 i n sin{left (34 s right )} – sin{left (82 right )}$$
Раскрыть выражение
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-sin(82) + 24*I*n* – 1855967520*cos (s)*sin (s) – 1855967520*cos (s)*sin (s) – 286097760*cos (s)*sin (s) – 286097760*cos (s)*sin (s) – 5379616*cos (s)*sin (s) – 5379616*cos (s)*sin (s) – 5984*cos (s)*sin (s) – 5984*cos (s)*sin (s) + 34*cos (s)*sin(s) + 34*sin (s)*cos(s) + 278256*cos (s)*sin (s) + 278256*cos (s)*sin (s) + 52451256*cos (s)*sin (s) + 52451256*cos (s)*sin (s) + 927983760*cos (s)*sin (s) + 927983760*cos (s)*sin (s) + 2333606220*cos (s)*sin (s)/
$$24 i n left(34 sin^{33}{left (s right )} cos{left (s right )} – 5984 sin^{31}{left (s right )} cos^{3}{left (s right )} + 278256 sin^{29}{left (s right )} cos^{5}{left (s right )} – 5379616 sin^{27}{left (s right )} cos^{7}{left (s right )} + 52451256 sin^{25}{left (s right )} cos^{9}{left (s right )} – 286097760 sin^{23}{left (s right )} cos^{11}{left (s right )} + 927983760 sin^{21}{left (s right )} cos^{13}{left (s right )} – 1855967520 sin^{19}{left (s right )} cos^{15}{left (s right )} + 2333606220 sin^{17}{left (s right )} cos^{17}{left (s right )} – 1855967520 sin^{15}{left (s right )} cos^{19}{left (s right )} + 927983760 sin^{13}{left (s right )} cos^{21}{left (s right )} – 286097760 sin^{11}{left (s right )} cos^{23}{left (s right )} + 52451256 sin^{9}{left (s right )} cos^{25}{left (s right )} – 5379616 sin^{7}{left (s right )} cos^{27}{left (s right )} + 278256 sin^{5}{left (s right )} cos^{29}{left (s right )} – 5984 sin^{3}{left (s right )} cos^{31}{left (s right )} + 34 sin{left (s right )} cos^{33}{left (s right )}right) – sin{left (82 right )}$$
