tan(t)=1 (уравнение)

Найду корень уравнения: tan(t)=1

Вы ввели

tan(t) = 1

$$\tan{\left(t \right)} = 1$$

Подробное решение

Дано уравнение
$$\tan{\left(t \right)} = 1$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$t = \pi n + \operatorname{atan}{\left(1 \right)}$$
Или
$$t = \pi n + \frac{\pi}{4}$$
, где n - любое целое число

Быстрый ответ

     pi
t1 = --
     4 

$$t_{1} = \frac{\pi}{4}$$

Сумма и произведение корней

сумма

pi
--
4 

$$\frac{\pi}{4}$$

=

pi
--
4 

$$\frac{\pi}{4}$$

произведение

pi
--
4 

$$\frac{\pi}{4}$$

=

pi
--
4 

$$\frac{\pi}{4}$$

Численный ответ

t1 = -80.8960108299372

t2 = -33.7721210260903

t3 = 3.92699081698724

t4 = -49.4800842940392

t5 = 22.776546738526

t6 = 82.4668071567321

t7 = 16.4933614313464

t8 = 101.316363078271

t9 = -84.037603483527

t10 = -77.7544181763474

t11 = -18.0641577581413

t12 = 47.9092879672443

t13 = -36.9137136796801

t14 = -24.3473430653209

t15 = -11.7809724509617

t16 = -99.7455667514759

t17 = 51.0508806208341

t18 = 63.6172512351933

t19 = 60.4756585816035

t20 = -14.9225651045515

t21 = 85.6083998103219

t22 = 13.3517687777566

t23 = -58.9048622548086

t24 = -90.3207887907066

t25 = 32.2013246992954

t26 = -46.3384916404494

t27 = -96.6039740978861

t28 = -52.621676947629

t29 = 57.3340659280137

t30 = -68.329640215578

t31 = -93.4623814442964

t32 = 0.785398163397448

t33 = -8.63937979737193

t34 = -40.0553063332699

t35 = 10.2101761241668

t36 = -62.0464549083984

t37 = -65.1880475619882

t38 = -30.6305283725005

t39 = -71.4712328691678

t40 = 95.0331777710912

t41 = 88.7499924639117

t42 = 91.8915851175014

t43 = -21.2057504117311

t44 = -87.1791961371168

t45 = 76.1836218495525

t46 = 35.3429173528852

t47 = 69.9004365423729

t48 = -43.1968989868597

t49 = 66.7588438887831

t50 = 44.7676953136546

t51 = -2.35619449019234

t52 = 29.0597320457056

t53 = -74.6128255227576

t54 = 98.174770424681

t55 = 54.1924732744239

t56 = 73.0420291959627

t57 = -55.7632696012188

t58 = 79.3252145031423

t59 = 25.9181393921158

t60 = -5.49778714378214

t61 = 38.484510006475

t62 = 19.6349540849362

t63 = 7.06858347057703

t64 = 41.6261026600648

t65 = -27.4889357189107

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