Дано
$$- 2 cos^{10}{left (15 sin^{2}{left (x right )} right )} + sin{left (40 right )} + sin{left (20 right )}$$
Подстановка условия
$$- 2 cos^{10}{left (15 sin^{2}{left (x right )} right )} + sin{left (40 right )} + sin{left (20 right )}$$
sin(40) – 2*cos(sin((-4))^2*15)^10 + sin(20)
$$- 2 cos^{10}{left (15 sin^{2}{left ((-4) right )} right )} + sin{left (40 right )} + sin{left (20 right )}$$
sin(40) – 2*cos(sin(-4)^2*15)^10 + sin(20)
$$- 2 cos^{10}{left (15 sin^{2}{left (-4 right )} right )} + sin{left (40 right )} + sin{left (20 right )}$$
-2*cos(15*sin(4)^2)^10 + sin(20) + sin(40)
$$- 2 cos^{10}{left (15 sin^{2}{left (4 right )} right )} + sin{left (40 right )} + sin{left (20 right )}$$
Численный ответ
1.65805841120698 – 2.0*cos(sin(x)^2*15)^10
Соберем выражение
$$- frac{105}{128} cos{left (15 cos{left (2 x right )} – 15 right )} – frac{15}{32} cos{left (30 cos{left (2 x right )} – 30 right )} – frac{45}{256} cos{left (45 cos{left (2 x right )} – 45 right )} – frac{5}{128} cos{left (60 cos{left (2 x right )} – 60 right )} – frac{1}{256} cos{left (75 cos{left (2 x right )} – 75 right )} – frac{63}{128} + sin{left (40 right )} + sin{left (20 right )}$$
Раскрыть выражение
10
/ 15/ 2 9/ 2 6/ 2 5/ 2 10/ 2 13/ 2 2/ 2 14/ 2 / 2 3/ 2 12/ 2 11/ 2 4/ 2 7/ 2 8/ 2
– 2*cos sin (x)/ – 5005*cos sin (x)/*sin sin (x)/ – 3003*cos sin (x)/*sin sin (x)/ – 105*cos sin (x)/*sin sin (x)/ – 15*sin sin (x)/*cossin (x)/ + 455*cos sin (x)/*sin sin (x)/ + 1365*cos sin (x)/*sin sin (x)/ + 6435*cos sin (x)/*sin sin (x)// + sin(20) + sin(40)
$$- 2 left(- 15 sin^{14}{left (sin^{2}{left (x right )} right )} cos{left (sin^{2}{left (x right )} right )} + 455 sin^{12}{left (sin^{2}{left (x right )} right )} cos^{3}{left (sin^{2}{left (x right )} right )} – 3003 sin^{10}{left (sin^{2}{left (x right )} right )} cos^{5}{left (sin^{2}{left (x right )} right )} + 6435 sin^{8}{left (sin^{2}{left (x right )} right )} cos^{7}{left (sin^{2}{left (x right )} right )} – 5005 sin^{6}{left (sin^{2}{left (x right )} right )} cos^{9}{left (sin^{2}{left (x right )} right )} + 1365 sin^{4}{left (sin^{2}{left (x right )} right )} cos^{11}{left (sin^{2}{left (x right )} right )} – 105 sin^{2}{left (sin^{2}{left (x right )} right )} cos^{13}{left (sin^{2}{left (x right )} right )} + cos^{15}{left (sin^{2}{left (x right )} right )}right)^{10} + sin{left (40 right )} + sin{left (20 right )}$$
