siny=0 (уравнение)

Найду корень уравнения: siny=0

Вы ввели

sin(y) = 0

$$\sin{\left(y \right)} = 0$$

Подробное решение

Дано уравнение
$$\sin{\left(y \right)} = 0$$
- это простейшее тригонометрическое ур-ние

с изменением знака при 0

Получим:
$$\sin{\left(y \right)} = 0$$
Это ур-ние преобразуется в
$$y = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$y = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Или
$$y = 2 \pi n$$
$$y = 2 \pi n + \pi$$
, где n - любое целое число

Быстрый ответ

y1 = 0

$$y_{1} = 0$$

y2 = pi

$$y_{2} = \pi$$

Сумма и произведение корней

сумма

0 + 0 + pi

$$\left(0 + 0\right) + \pi$$

=

pi

$$\pi$$

произведение

1*0*pi

$$1 \cdot 0 \pi$$

=

0

$$0$$

Численный ответ

y1 = -84.8230016469244

y2 = -12.5663706143592

y3 = 75.398223686155

y4 = -50.2654824574367

y5 = -97.3893722612836

y6 = 3.14159265358979

y7 = 15.707963267949

y8 = 59.6902604182061

y9 = 40.8407044966673

y10 = -62.8318530717959

y11 = 21.9911485751286

y12 = -53.4070751110265

y13 = -72.2566310325652

y14 = 9.42477796076938

y15 = 87.9645943005142

y16 = -91.106186954104

y17 = -100.530964914873

y18 = -34.5575191894877

y19 = -47.1238898038469

y20 = -87.9645943005142

y21 = 0.0

y22 = -21.9911485751286

y23 = 37.6991118430775

y24 = -28.2743338823081

y25 = -232.477856365645

y26 = -6.28318530717959

y27 = 43.9822971502571

y28 = 91.106186954104

y29 = -2642.07942166902

y30 = -40.8407044966673

y31 = 94.2477796076938

y32 = -31.4159265358979

y33 = -69.1150383789755

y34 = 47.1238898038469

y35 = 62.8318530717959

y36 = -56.5486677646163

y37 = 18.8495559215388

y38 = -37.6991118430775

y39 = 56.5486677646163

y40 = 65.9734457253857

y41 = -59.6902604182061

y42 = -75.398223686155

y43 = -3.14159265358979

y44 = 81.6814089933346

y45 = -18.8495559215388

y46 = 31.4159265358979

y47 = -267.035375555132

y48 = -9.42477796076938

y49 = -15.707963267949

y50 = -43.9822971502571

y51 = -113.097335529233

y52 = 78.5398163397448

y53 = -78.5398163397448

y54 = -81.6814089933346

y55 = 84.8230016469244

y56 = 28.2743338823081

y57 = -25.1327412287183

y58 = -65.9734457253857

y59 = 97.3893722612836

y60 = 69.1150383789755

y61 = 50.2654824574367

y62 = 100.530964914873

y63 = 34.5575191894877

y64 = 6.28318530717959

y65 = 25.1327412287183

y66 = 53.4070751110265

y67 = -94.2477796076938

y68 = 12.5663706143592

y69 = 72.2566310325652

График