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 + 0 - --
        2 

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

=

-pi 
----
 2  

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

произведение

    -pi 
1*0*----
     2  

$$1 \cdot 0 \left(- \frac{\pi}{2}\right)$$

=

0

$$0$$

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

     -pi 
x2 = ----
      2  

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

Численный ответ

x1 = -45.553093477052

x2 = -6.28318530717959

x3 = 10.9955742875643

x4 = -25.1327412287183

x5 = 31.4159265358979

x6 = 86.3937979737193

x7 = -32.9867228626928

x8 = 48.6946861306418

x9 = -1.5707963267949

x10 = 81.6814089933346

x11 = 0.0

x12 = 73.8274273593601

x13 = 54.9778714378214

x14 = 23.5619449019235

x15 = 61.261056745001

x16 = 6.28318530717959

x17 = 43.9822971502571

x18 = -14.1371669411541

x19 = -125.663706143592

x20 = -75.398223686155

x21 = 2475.57501102876

x22 = -95.8185759344887

x23 = 17.2787595947439

x24 = 80.1106126665397

x25 = 56.5486677646163

x26 = 50.2654824574367

x27 = 92.6769832808989

x28 = -89.5353906273091

x29 = -62.8318530717959

x30 = 62.8318530717959

x31 = -69.1150383789755

x32 = 205.774318810131

x33 = 37.6991118430775

x34 = 29.845130209103

x35 = 36.1283155162826

x36 = -51.8362787842316

x37 = -43.9822971502571

x38 = 4.71238898038469

x39 = -7.85398163397448

x40 = -100.530964914873

x41 = -94.2477796076938

x42 = 177939.807899326

x43 = 87.9645943005142

x44 = -70.6858347057703

x45 = -26.7035375555132

x46 = -76.9690200129499

x47 = -12.5663706143592

x48 = -56.5486677646163

x49 = -87.9645943005142

x50 = -18.8495559215388

x51 = -50.2654824574367

x52 = -37.6991118430775

x53 = 576.482251933727

x54 = 12.5663706143592

x55 = -64.4026493985908

x56 = 213.628300444106

x57 = 100.530964914873

x58 = -31.4159265358979

x59 = 75.398223686155

x60 = 42.4115008234622

x61 = 18.8495559215388

x62 = -39.2699081698724

x63 = 98.9601685880785

x64 = -20.4203522483337

x65 = 69.1150383789755

x66 = 67.5442420521806

x67 = 94.2477796076938

x68 = -81.6814089933346

x69 = -58.1194640914112

x70 = -83.2522053201295

x71 = 25.1327412287183

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