sin(x)+cos(x)=-1 (уравнение)

Найду корень уравнения: sin(x)+cos(x)=-1

Вы ввели

sin(x) + cos(x) = -1

$$\sin{\left(x \right)} + \cos{\left(x \right)} = -1$$

Сумма и произведение корней

сумма

    pi
0 - --
    2 

$$- \frac{\pi}{2} + 0$$

=

-pi 
----
 2  

$$- \frac{\pi}{2}$$

произведение

  -pi 
1*----
   2  

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

=

-pi 
----
 2  

$$- \frac{\pi}{2}$$

Быстрый ответ

     -pi 
x1 = ----
      2  

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

Численный ответ

x1 = 59.6902604182061

x2 = -45.553093477052

x3 = -97.3893722612836

x4 = -83.2522053201295

x5 = 86.3937979737193

x6 = 42.4115008234622

x7 = 36.1283155162826

x8 = -28.2743338823081

x9 = 72.2566310325652

x10 = 97.3893722612836

x11 = -20.4203522483337

x12 = -32.9867228626928

x13 = 17.2787595947439

x14 = -26.7035375555132

x15 = -84.8230016469244

x16 = 47.1238898038469

x17 = -39.2699081698724

x18 = 98.9601685880785

x19 = -89.5353906273091

x20 = 29.845130209103

x21 = -40.8407044966673

x22 = 10.9955742875643

x23 = 91.106186954104

x24 = -53.4070751110265

x25 = 34.5575191894877

x26 = 40.8407044966673

x27 = 21.9911485751286

x28 = 15.707963267949

x29 = 61.261056745001

x30 = -14.1371669411541

x31 = -15.707963267949

x32 = 92.6769832808989

x33 = -21.9911485751286

x34 = -3.14159265358979

x35 = 73.8274273593601

x36 = 3.14159265358979

x37 = -196.349540849362

x38 = -78.5398163397448

x39 = -59.6902604182061

x40 = 23.5619449019235

x41 = 84.8230016469244

x42 = -64.4026493985908

x43 = -51.8362787842316

x44 = 9.42477796076938

x45 = -47.1238898038469

x46 = 53.4070751110265

x47 = -9.42477796076938

x48 = -58.1194640914112

x49 = -95.8185759344887

x50 = 4.71238898038469

x51 = 48.6946861306418

x52 = -7.85398163397448

x53 = -76.9690200129499

x54 = 65.9734457253857

x55 = -1.5707963267949

x56 = 28.2743338823081

x57 = -70.6858347057703

x58 = -91.106186954104

x59 = 67.5442420521806

x60 = 54.9778714378214

x61 = -72.2566310325652

x62 = 78.5398163397448

x63 = 80.1106126665397

x64 = -65.9734457253857

x65 = -34.5575191894877

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