Дано
$$2 sin{left (22 x right )} + 4 + 2 cos{left (22 x right )}$$
Подстановка условия
$$2 sin{left (22 x right )} + 4 + 2 cos{left (22 x right )}$$
2*sin(22*(-2)) + 4 + 2*cos(22*(-2))
$$2 sin{left (22 (-2) right )} + 4 + 2 cos{left (22 (-2) right )}$$
2*sin(22*(-2)) + 4 + 2*cos(22*(-2))
$$2 cos{left (-2 cdot 22 right )} + 2 sin{left (-2 cdot 22 right )} + 4$$
4 – 2*sin(44) + 2*cos(44)
$$- 2 sin{left (44 right )} + 2 cos{left (44 right )} + 4$$
Степени
$$2 sin{left (22 x right )} + 2 cos{left (22 x right )} + 4$$
Численный ответ
4.0 + 2.0*cos(22*x) + 2.0*sin(22*x)
Рациональный знаменатель
$$2 sin{left (22 x right )} + 2 cos{left (22 x right )} + 4$$
Объединение рациональных выражений
$$2 left(sin{left (22 x right )} + cos{left (22 x right )} + 2right)$$
Общее упрощение
___ / pi
4 + 2*/ 2 *sin|22*x + –|
4 /
$$2 sqrt{2} sin{left (22 x + frac{pi}{4} right )} + 4$$
Соберем выражение
$$2 sin{left (22 x right )} + 2 cos{left (22 x right )} + 4$$
Комбинаторика
2*(2 + cos(22*x) + sin(22*x))
$$2 left(sin{left (22 x right )} + cos{left (22 x right )} + 2right)$$
Общий знаменатель
4 + 2*cos(22*x) + 2*sin(22*x)
$$2 sin{left (22 x right )} + 2 cos{left (22 x right )} + 4$$
Тригонометрическая часть
___ / pi
4 + 2*/ 2 *sin|22*x + –|
4 /
$$2 sqrt{2} sin{left (22 x + frac{pi}{4} right )} + 4$$
Раскрыть выражение
22 22 11 11 12 10 8 14 7 15 15 7 16 6 4 18 3 19 19 3 20 2 21 21 2 20 18 4 5 17 17 5 6 16 14 8 9 13 13 9 10 12
4 – 2*sin (x) + 2*cos (x) – 1410864*cos (x)*sin (x) – 1293292*cos (x)*sin (x) – 639540*cos (x)*sin (x) – 341088*cos (x)*sin (x) – 341088*cos (x)*sin (x) – 149226*cos (x)*sin (x) – 14630*cos (x)*sin (x) – 3080*cos (x)*sin (x) – 3080*cos (x)*sin (x) – 462*cos (x)*sin (x) + 44*cos (x)*sin(x) + 44*sin (x)*cos(x) + 462*cos (x)*sin (x) + 14630*cos (x)*sin (x) + 52668*cos (x)*sin (x) + 52668*cos (x)*sin (x) + 149226*cos (x)*sin (x) + 639540*cos (x)*sin (x) + 994840*cos (x)*sin (x) + 994840*cos (x)*sin (x) + 1293292*cos (x)*sin (x)
$$- 2 sin^{22}{left (x right )} + 44 sin^{21}{left (x right )} cos{left (x right )} + 462 sin^{20}{left (x right )} cos^{2}{left (x right )} – 3080 sin^{19}{left (x right )} cos^{3}{left (x right )} – 14630 sin^{18}{left (x right )} cos^{4}{left (x right )} + 52668 sin^{17}{left (x right )} cos^{5}{left (x right )} + 149226 sin^{16}{left (x right )} cos^{6}{left (x right )} – 341088 sin^{15}{left (x right )} cos^{7}{left (x right )} – 639540 sin^{14}{left (x right )} cos^{8}{left (x right )} + 994840 sin^{13}{left (x right )} cos^{9}{left (x right )} + 1293292 sin^{12}{left (x right )} cos^{10}{left (x right )} – 1410864 sin^{11}{left (x right )} cos^{11}{left (x right )} – 1293292 sin^{10}{left (x right )} cos^{12}{left (x right )} + 994840 sin^{9}{left (x right )} cos^{13}{left (x right )} + 639540 sin^{8}{left (x right )} cos^{14}{left (x right )} – 341088 sin^{7}{left (x right )} cos^{15}{left (x right )} – 149226 sin^{6}{left (x right )} cos^{16}{left (x right )} + 52668 sin^{5}{left (x right )} cos^{17}{left (x right )} + 14630 sin^{4}{left (x right )} cos^{18}{left (x right )} – 3080 sin^{3}{left (x right )} cos^{19}{left (x right )} – 462 sin^{2}{left (x right )} cos^{20}{left (x right )} + 44 sin{left (x right )} cos^{21}{left (x right )} + 2 cos^{22}{left (x right )} + 4$$
