sinπx/15=0 (уравнение)

Найду корень уравнения: sinπx/15=0

Вы ввели

sin(POST_GRBEK_SMALL_pix)    
------------------------- = 0
            15               

$$\frac{\sin{\left(POST_{GRBEK SMALL pix} \right)}}{15} = 0$$

Подробное решение

Дано уравнение
$$\frac{\sin{\left(POST_{GRBEK SMALL pix} \right)}}{15} = 0$$
преобразуем
$$\frac{\sin{\left(POST_{GRBEK SMALL pix} \right)}}{15} - 1 = 0$$
$$\frac{\sin{\left(POST_{GRBEK SMALL pix} \right)}}{15} - 1 = 0$$
Сделаем замену
$$w = \sin{\left(POST_{GRBEK SMALL pix} \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$\frac{w}{15} = 1$$
Разделим обе части ур-ния на 1/15

w = 1 / (1/15)

Получим ответ: w = 15
делаем обратную замену
$$\sin{\left(POST_{GRBEK SMALL pix} \right)} = w$$
подставляем w:

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

x2 = 1

$$x_{2} = 1$$

Сумма и произведение корней

сумма

0

$$0$$

=

0

$$0$$

произведение

1

$$1$$

=

1

$$1$$

Численный ответ

x1 = 59.6902604182061

x2 = -97.3893722612836

x3 = -75.398223686155

x4 = -31.4159265358979

x5 = 97.3893722612836

x6 = -28.2743338823081

x7 = 72.2566310325652

x8 = 47.1238898038469

x9 = 12.5663706143592

x10 = -84.8230016469244

x11 = 56.5486677646163

x12 = 0.0

x13 = 69.1150383789755

x14 = 81.6814089933346

x15 = 75.398223686155

x16 = -40.8407044966673

x17 = -81.6814089933346

x18 = 91.106186954104

x19 = -94.2477796076938

x20 = -53.4070751110265

x21 = 34.5575191894877

x22 = 40.8407044966673

x23 = -62.8318530717959

x24 = 21.9911485751286

x25 = 15.707963267949

x26 = -113.097335529233

x27 = -15.707963267949

x28 = -21.9911485751286

x29 = 18.8495559215388

x30 = -3.14159265358979

x31 = 3.14159265358979

x32 = 94.2477796076938

x33 = -50.2654824574367

x34 = 100.530964914873

x35 = -78.5398163397448

x36 = 31.4159265358979

x37 = -43.9822971502571

x38 = -37.6991118430775

x39 = -59.6902604182061

x40 = -232.477856365645

x41 = 37.6991118430775

x42 = -100.530964914873

x43 = 84.8230016469244

x44 = 87.9645943005142

x45 = -12.5663706143592

x46 = 62.8318530717959

x47 = -69.1150383789755

x48 = 20765.9274402285

x49 = -18.8495559215388

x50 = 9.42477796076938

x51 = 50.2654824574367

x52 = 43.9822971502571

x53 = -6.28318530717959

x54 = 53.4070751110265

x55 = -56.5486677646163

x56 = -9.42477796076938

x57 = 6.28318530717959

x58 = -87.9645943005142

x59 = -267.035375555132

x60 = 25.1327412287183

x61 = -25.1327412287183

x62 = 65.9734457253857

x63 = 28.2743338823081

x64 = -91.106186954104

x65 = -47.1238898038469

x66 = -72.2566310325652

x67 = 78.5398163397448

x68 = -65.9734457253857

x69 = -34.5575191894877

График