cos(x)+sin(x)=-1 (уравнение)

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

Вы ввели

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

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

Быстрый ответ

     -pi 
x1 = ----
      2  

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

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  

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

Численный ответ

x1 = 34.5575191894877

x2 = -45.553093477052

x3 = 72.2566310325652

x4 = 47.1238898038469

x5 = -47.1238898038469

x6 = -97.3893722612836

x7 = -72.2566310325652

x8 = 10.9955742875643

x9 = -9.42477796076938

x10 = 86.3937979737193

x11 = 48.6946861306418

x12 = -1.5707963267949

x13 = -32.9867228626928

x14 = 73.8274273593601

x15 = 54.9778714378214

x16 = 23.5619449019235

x17 = 61.261056745001

x18 = 28.2743338823081

x19 = -14.1371669411541

x20 = -95.8185759344887

x21 = -34.5575191894877

x22 = 53.4070751110265

x23 = 17.2787595947439

x24 = 80.1106126665397

x25 = 21.9911485751286

x26 = -89.5353906273091

x27 = -15.707963267949

x28 = -59.6902604182061

x29 = 9.42477796076938

x30 = 78.5398163397448

x31 = 29.845130209103

x32 = 36.1283155162826

x33 = -51.8362787842316

x34 = 4.71238898038469

x35 = -7.85398163397448

x36 = -53.4070751110265

x37 = -28.2743338823081

x38 = -196.349540849362

x39 = 65.9734457253857

x40 = -65.9734457253857

x41 = -70.6858347057703

x42 = -26.7035375555132

x43 = 91.106186954104

x44 = -91.106186954104

x45 = -76.9690200129499

x46 = 40.8407044966673

x47 = -40.8407044966673

x48 = -21.9911485751286

x49 = -64.4026493985908

x50 = 97.3893722612836

x51 = 15.707963267949

x52 = -3.14159265358979

x53 = 3.14159265358979

x54 = 42.4115008234622

x55 = 84.8230016469244

x56 = -39.2699081698724

x57 = 98.9601685880785

x58 = -20.4203522483337

x59 = 59.6902604182061

x60 = -84.8230016469244

x61 = -78.5398163397448

x62 = 67.5442420521806

x63 = 92.6769832808989

x64 = -58.1194640914112

x65 = -83.2522053201295

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