sin(3*x)+cos(4*x)=2 (уравнение)

Найду корень уравнения: sin(3*x)+cos(4*x)=2

Вы ввели

sin(3*x) + cos(4*x) = 2

$$\sin{\left(3 x \right)} + \cos{\left(4 x \right)} = 2$$

Быстрый ответ

     -pi 
x1 = ----
      2  

$$x_{1} = - \frac{\pi}{2}$$

     3*pi
x2 = ----
      2  

$$x_{2} = \frac{3 \pi}{2}$$

Сумма и произведение корней

сумма

    pi   3*pi
0 - -- + ----
    2     2  

$$\left(- \frac{\pi}{2} + 0\right) + \frac{3 \pi}{2}$$

=

pi

$$\pi$$

произведение

  -pi  3*pi
1*----*----
   2    2  

$$\frac{3 \pi}{2} \cdot 1 \left(- \frac{\pi}{2}\right)$$

=

     2
-3*pi 
------
  4   

$$- \frac{3 \pi^{2}}{4}$$

Численный ответ

x1 = 86.3937978925417

x2 = -20.4203521293794

x3 = 23.5619450116886

x4 = -83.2522053940762

x5 = -83.2522055435542

x6 = -51.8362786911266

x7 = -58.1194640047245

x8 = -45.5530935789892

x9 = 73.8274274680014

x10 = 36.1283153335641

x11 = -51.8362789819696

x12 = -39.2699082429952

x13 = -1.57079642232469

x14 = 29.8451303111377

x15 = -7.85398150505993

x16 = -64.4026492728558

x17 = 4.71238888890744

x18 = -83.2522053680748

x19 = 67.5442421496054

x20 = 48.694686025763

x21 = 92.6769831663082

x22 = 42.4115009078943

x23 = -95.8185758683849

x24 = -14.1371668464232

x25 = 42.4115007348564

x26 = 80.1106127030688

x27 = -89.5353907351182

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