sint=0 (уравнение)

Найду корень уравнения: sint=0

Вы ввели

sin(t) = 0

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

Подробное решение

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

с изменением знака при 0

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

Быстрый ответ

t1 = 0

$$t_{1} = 0$$

t2 = pi

$$t_{2} = \pi$$

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

t1 = -84.8230016469244

t2 = -12.5663706143592

t3 = 75.398223686155

t4 = -50.2654824574367

t5 = -97.3893722612836

t6 = 3.14159265358979

t7 = 15.707963267949

t8 = 59.6902604182061

t9 = 40.8407044966673

t10 = -62.8318530717959

t11 = 21.9911485751286

t12 = -53.4070751110265

t13 = -72.2566310325652

t14 = 9.42477796076938

t15 = 87.9645943005142

t16 = -91.106186954104

t17 = -100.530964914873

t18 = -34.5575191894877

t19 = -47.1238898038469

t20 = -87.9645943005142

t21 = 0.0

t22 = -21.9911485751286

t23 = 37.6991118430775

t24 = -28.2743338823081

t25 = -232.477856365645

t26 = -6.28318530717959

t27 = 43.9822971502571

t28 = 91.106186954104

t29 = -2642.07942166902

t30 = -40.8407044966673

t31 = 94.2477796076938

t32 = -31.4159265358979

t33 = -69.1150383789755

t34 = 47.1238898038469

t35 = 62.8318530717959

t36 = -56.5486677646163

t37 = 18.8495559215388

t38 = -37.6991118430775

t39 = 56.5486677646163

t40 = 65.9734457253857

t41 = -59.6902604182061

t42 = -75.398223686155

t43 = -3.14159265358979

t44 = 81.6814089933346

t45 = -18.8495559215388

t46 = 31.4159265358979

t47 = -267.035375555132

t48 = -9.42477796076938

t49 = -15.707963267949

t50 = -43.9822971502571

t51 = -113.097335529233

t52 = 78.5398163397448

t53 = -78.5398163397448

t54 = -81.6814089933346

t55 = 84.8230016469244

t56 = 28.2743338823081

t57 = -25.1327412287183

t58 = -65.9734457253857

t59 = 97.3893722612836

t60 = 69.1150383789755

t61 = 50.2654824574367

t62 = 100.530964914873

t63 = 34.5575191894877

t64 = 6.28318530717959

t65 = 25.1327412287183

t66 = 53.4070751110265

t67 = -94.2477796076938

t68 = 12.5663706143592

t69 = 72.2566310325652

График