sin(t) = 0 (уравнение)

Найду корень уравнения: sin(t) = 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

$$t_{2} = \pi$$

Численный ответ

t1 = -75.398223686155

t2 = 34.5575191894877

t3 = -84.8230016469244

t4 = 28.2743338823081

t5 = 9.42477796076938

t6 = -15.707963267949

t7 = 37.6991118430775

t8 = 43.9822971502571

t9 = -6.28318530717959

t10 = 18.8495559215388

t11 = 81.6814089933346

t12 = -94.2477796076938

t13 = 25.1327412287183

t14 = -31.4159265358979

t15 = -69.1150383789755

t16 = -72.2566310325652

t17 = -53.4070751110265

t18 = 84.8230016469244

t19 = 6.28318530717959

t20 = -50.2654824574367

t21 = -56.5486677646163

t22 = -267.035375555132

t23 = 50.2654824574367

t24 = 21.9911485751286

t25 = -3.14159265358979

t26 = -12.5663706143592

t27 = -25.1327412287183

t28 = 62.8318530717959

t29 = 56.5486677646163

t30 = 12.5663706143592

t31 = 75.398223686155

t32 = 3.14159265358979

t33 = -97.3893722612836

t34 = 0.0

t35 = -113.097335529233

t36 = -37.6991118430775

t37 = -34.5575191894877

t38 = -232.477856365645

t39 = -100.530964914873

t40 = -43.9822971502571

t41 = -65.9734457253857

t42 = 31.4159265358979

t43 = -78.5398163397448

t44 = -9.42477796076938

t45 = 69.1150383789755

t46 = 94.2477796076938

t47 = 47.1238898038469

t48 = -21.9911485751286

t49 = -62.8318530717959

t50 = -2642.07942166902

t51 = 59.6902604182061

t52 = 97.3893722612836

t53 = 40.8407044966673

t54 = -81.6814089933346

t55 = -40.8407044966673

t56 = 78.5398163397448

t57 = -59.6902604182061

t58 = -87.9645943005142

t59 = -91.106186954104

t60 = -47.1238898038469

t61 = 72.2566310325652

t62 = -28.2743338823081

t63 = 53.4070751110265

t64 = -18.8495559215388

t65 = 15.707963267949

t66 = 87.9645943005142

t67 = 65.9734457253857

t68 = 91.106186954104

t69 = 100.530964914873

График