Калькуляторы онлайн/ Решение уравнений/ Упрощение выражений/ -2*cos(2*x)*sin(cos(2*x))*sin(sin(2*x))-2*cos(cos(2*x))*cos(sin(2*x))*sin(2*x) если x=4

-2*cos(2*x)*sin(cos(2*x)) ... n(2*x))*sin(2*x) если x=4 (упростите выражение)

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Примеры

Решение

Вы ввели [src]
-2*cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - 2*cos(cos(2*x))*cos(sin(2*x))*sin(2*x)
sin⁡(cos⁡(2x))(−2cos⁡(2x))sin⁡(sin⁡(2x))−2sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))\sin{\left (\cos{\left (2 x \right )} \right )} \left(- 2 \cos{\left (2 x \right )}\right) \sin{\left (\sin{\left (2 x \right )} \right )} - 2 \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )}
Подстановка условия [src]
((-2*cos(2*x))*sin(cos(2*x)))*sin(sin(2*x)) - (2*cos(cos(2*x)))*cos(sin(2*x))*sin(2*x) при x = 4
((-2*cos(2*x))*sin(cos(2*x)))*sin(sin(2*x)) - (2*cos(cos(2*x)))*cos(sin(2*x))*sin(2*x)
sin⁡(cos⁡(2x))(−2cos⁡(2x))sin⁡(sin⁡(2x))−2sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))\sin{\left (\cos{\left (2 x \right )} \right )} \left(- 2 \cos{\left (2 x \right )}\right) \sin{\left (\sin{\left (2 x \right )} \right )} - 2 \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )}
((-2*cos(2*(4)))*sin(cos(2*(4))))*sin(sin(2*(4))) - (2*cos(cos(2*(4))))*cos(sin(2*(4)))*sin(2*(4))
sin⁡(cos⁡(2(4)))(−2cos⁡(2(4)))sin⁡(sin⁡(2(4)))−2sin⁡(2(4))cos⁡(sin⁡(2(4)))cos⁡(cos⁡(2(4)))\sin{\left (\cos{\left (2 (4) \right )} \right )} \left(- 2 \cos{\left (2 (4) \right )}\right) \sin{\left (\sin{\left (2 (4) \right )} \right )} - 2 \sin{\left (2 (4) \right )} \cos{\left (\sin{\left (2 (4) \right )} \right )} \cos{\left (\cos{\left (2 (4) \right )} \right )}
((-2*cos(2*4))*sin(cos(2*4)))*sin(sin(2*4)) - (2*cos(cos(2*4)))*cos(sin(2*4))*sin(2*4)
−2sin⁡(2⋅4)cos⁡(sin⁡(2⋅4))cos⁡(cos⁡(2⋅4))+sin⁡(cos⁡(2⋅4))(−2cos⁡(2⋅4))sin⁡(sin⁡(2⋅4))- 2 \sin{\left (2 \cdot 4 \right )} \cos{\left (\sin{\left (2 \cdot 4 \right )} \right )} \cos{\left (\cos{\left (2 \cdot 4 \right )} \right )} + \sin{\left (\cos{\left (2 \cdot 4 \right )} \right )} \left(- 2 \cos{\left (2 \cdot 4 \right )}\right) \sin{\left (\sin{\left (2 \cdot 4 \right )} \right )}
-2*cos(8)*sin(cos(8))*sin(sin(8)) - 2*cos(cos(8))*cos(sin(8))*sin(8)
−2sin⁡(8)cos⁡(sin⁡(8))cos⁡(cos⁡(8))−2sin⁡(sin⁡(8))sin⁡(cos⁡(8))cos⁡(8)- 2 \sin{\left (8 \right )} \cos{\left (\sin{\left (8 \right )} \right )} \cos{\left (\cos{\left (8 \right )} \right )} - 2 \sin{\left (\sin{\left (8 \right )} \right )} \sin{\left (\cos{\left (8 \right )} \right )} \cos{\left (8 \right )}
Степени [src]
-2*cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - 2*cos(cos(2*x))*cos(sin(2*x))*sin(2*x)
−2sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))−2sin⁡(sin⁡(2x))sin⁡(cos⁡(2x))cos⁡(2x)- 2 \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )} - 2 \sin{\left (\sin{\left (2 x \right )} \right )} \sin{\left (\cos{\left (2 x \right )} \right )} \cos{\left (2 x \right )}
Численный ответ [src]
-2.0*cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - 2.0*cos(cos(2*x))*cos(sin(2*x))*sin(2*x)
Рациональный знаменатель [src]
-2*cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - 2*cos(cos(2*x))*cos(sin(2*x))*sin(2*x)
−2sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))−2sin⁡(sin⁡(2x))sin⁡(cos⁡(2x))cos⁡(2x)- 2 \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )} - 2 \sin{\left (\sin{\left (2 x \right )} \right )} \sin{\left (\cos{\left (2 x \right )} \right )} \cos{\left (2 x \right )}
Объединение рациональных выражений [src]
2*(-cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - cos(cos(2*x))*cos(sin(2*x))*sin(2*x))
2(−sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))−sin⁡(sin⁡(2x))sin⁡(cos⁡(2x))cos⁡(2x))2 \left(- \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )} - \sin{\left (\sin{\left (2 x \right )} \right )} \sin{\left (\cos{\left (2 x \right )} \right )} \cos{\left (2 x \right )}\right)
Общее упрощение [src]
-2*cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - 2*cos(cos(2*x))*cos(sin(2*x))*sin(2*x)
−2sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))−2sin⁡(sin⁡(2x))sin⁡(cos⁡(2x))cos⁡(2x)- 2 \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )} - 2 \sin{\left (\sin{\left (2 x \right )} \right )} \sin{\left (\cos{\left (2 x \right )} \right )} \cos{\left (2 x \right )}
Собрать выражение [src]
cos(-2*x + cos(2*x) + sin(2*x))   cos(2*x + cos(2*x) + sin(2*x))   sin(-2*x + cos(2*x) + sin(2*x))   cos(-cos(2*x) + 2*x + sin(2*x))   cos(-sin(2*x) + 2*x + cos(2*x))   sin(-cos(2*x) + 2*x + sin(2*x))   sin(-sin(2*x) + 2*x + cos(2*x))   sin(2*x + cos(2*x) + sin(2*x))
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12sin⁡(−2x+sin⁡(2x)+cos⁡(2x))−12sin⁡(2x−sin⁡(2x)+cos⁡(2x))−12sin⁡(2x+sin⁡(2x)−cos⁡(2x))−12sin⁡(2x+sin⁡(2x)+cos⁡(2x))+12cos⁡(−2x+sin⁡(2x)+cos⁡(2x))−12cos⁡(2x−sin⁡(2x)+cos⁡(2x))−12cos⁡(2x+sin⁡(2x)−cos⁡(2x))+12cos⁡(2x+sin⁡(2x)+cos⁡(2x))\frac{1}{2} \sin{\left (- 2 x + \sin{\left (2 x \right )} + \cos{\left (2 x \right )} \right )} - \frac{1}{2} \sin{\left (2 x - \sin{\left (2 x \right )} + \cos{\left (2 x \right )} \right )} - \frac{1}{2} \sin{\left (2 x + \sin{\left (2 x \right )} - \cos{\left (2 x \right )} \right )} - \frac{1}{2} \sin{\left (2 x + \sin{\left (2 x \right )} + \cos{\left (2 x \right )} \right )} + \frac{1}{2} \cos{\left (- 2 x + \sin{\left (2 x \right )} + \cos{\left (2 x \right )} \right )} - \frac{1}{2} \cos{\left (2 x - \sin{\left (2 x \right )} + \cos{\left (2 x \right )} \right )} - \frac{1}{2} \cos{\left (2 x + \sin{\left (2 x \right )} - \cos{\left (2 x \right )} \right )} + \frac{1}{2} \cos{\left (2 x + \sin{\left (2 x \right )} + \cos{\left (2 x \right )} \right )}
Комбинаторика [src]
-2*(cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) + cos(cos(2*x))*cos(sin(2*x))*sin(2*x))
−2(sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))+sin⁡(sin⁡(2x))sin⁡(cos⁡(2x))cos⁡(2x))- 2 \left(\sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )} + \sin{\left (\sin{\left (2 x \right )} \right )} \sin{\left (\cos{\left (2 x \right )} \right )} \cos{\left (2 x \right )}\right)
Общий знаменатель [src]
-2*cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - 2*cos(cos(2*x))*cos(sin(2*x))*sin(2*x)
−2sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))−2sin⁡(sin⁡(2x))sin⁡(cos⁡(2x))cos⁡(2x)- 2 \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )} - 2 \sin{\left (\sin{\left (2 x \right )} \right )} \sin{\left (\cos{\left (2 x \right )} \right )} \cos{\left (2 x \right )}
Тригонометрическая часть [src]
-2*cos(2*x)*sin(cos(2*x))*sin(sin(2*x)) - 2*cos(cos(2*x))*cos(sin(2*x))*sin(2*x)
−2sin⁡(2x)cos⁡(sin⁡(2x))cos⁡(cos⁡(2x))−2sin⁡(sin⁡(2x))sin⁡(cos⁡(2x))cos⁡(2x)- 2 \sin{\left (2 x \right )} \cos{\left (\sin{\left (2 x \right )} \right )} \cos{\left (\cos{\left (2 x \right )} \right )} - 2 \sin{\left (\sin{\left (2 x \right )} \right )} \sin{\left (\cos{\left (2 x \right )} \right )} \cos{\left (2 x \right )}
Раскрыть выражение [src]
/       2           2   \                         /   2         2   \                                    /   2         2   \       
\- 2*sin (x) + 2*cos (x)/*sin(2*cos(x)*sin(x))*sin\sin (x) - cos (x)/ - 4*cos(x)*cos(2*cos(x)*sin(x))*cos\sin (x) - cos (x)/*sin(x)
(−2sin⁡2(x)+2cos⁡2(x))sin⁡(2sin⁡(x)cos⁡(x))sin⁡(sin⁡2(x)−cos⁡2(x))−4sin⁡(x)cos⁡(x)cos⁡(2sin⁡(x)cos⁡(x))cos⁡(sin⁡2(x)−cos⁡2(x))\left(- 2 \sin^{2}{\left (x \right )} + 2 \cos^{2}{\left (x \right )}\right) \sin{\left (2 \sin{\left (x \right )} \cos{\left (x \right )} \right )} \sin{\left (\sin^{2}{\left (x \right )} - \cos^{2}{\left (x \right )} \right )} - 4 \sin{\left (x \right )} \cos{\left (x \right )} \cos{\left (2 \sin{\left (x \right )} \cos{\left (x \right )} \right )} \cos{\left (\sin^{2}{\left (x \right )} - \cos^{2}{\left (x \right )} \right )}