ctg11x=-1 (уравнение)

Найду корень уравнения: ctg11x=-1

Вы ввели

cot(11*x) = -1

$$\cot{\left(11 x \right)} = -1$$

Подробное решение

Дано уравнение
$$\cot{\left(11 x \right)} = -1$$
преобразуем
$$\cot{\left(11 x \right)} + 1 = 0$$
$$\cot{\left(11 x \right)} + 1 = 0$$
Сделаем замену
$$w = \cot{\left(11 x \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = -1$$
Получим ответ: w = -1
делаем обратную замену
$$\cot{\left(11 x \right)} = w$$
подставляем w:

Быстрый ответ

     -pi 
x1 = ----
      44 

$$x_{1} = - \frac{\pi}{44}$$

Сумма и произведение корней

сумма

-pi 
----
 44 

$$- \frac{\pi}{44}$$

=

-pi 
----
 44 

$$- \frac{\pi}{44}$$

произведение

-pi 
----
 44 

$$- \frac{\pi}{44}$$

=

-pi 
----
 44 

$$- \frac{\pi}{44}$$

Численный ответ

x1 = -79.7536135013591

x2 = -77.7544181763474

x3 = 14.2085667741902

x4 = -11.7809724509617

x5 = -51.7648789511955

x6 = -15.7793631009851

x7 = -43.7680976511487

x8 = 64.1884498994824

x9 = 93.8907804425131

x10 = -29.7737303760669

x11 = 12.2093714491785

x12 = 90.1779891246343

x13 = -89.7495901264175

x14 = 84.1804031495992

x15 = -27.7745350510552

x16 = -17.7785584259968

x17 = -7.78258180093835

x18 = 46.1956919743772

x19 = 100.173965749693

x20 = 26.2037387242603

x21 = -25.7753397260435

x22 = 58.1908639244473

x23 = 99.0315684211146

x24 = 38.1989106743304

x25 = 70.1860358745174

x26 = -3.78419115091498

x27 = -23.7761444010318

x28 = 8.21098079915514

x29 = 44.1964966493655

x30 = -99.7455667514759

x31 = 50.1940826244006

x32 = -81.7528088263708

x33 = 2.21339482412008

x34 = -53.7640742762071

x35 = 42.1973013243538

x36 = -59.7616602512422

x37 = -5.78338647592666

x38 = -71.7568322013123

x39 = 6.21178547414346

x40 = 30.2021293742837

x41 = -67.758441551289

x42 = 54.1924732744239

x43 = 22.2053480742369

x44 = 62.1892545744707

x45 = -83.7520041513824

x46 = -33.7721210260903

x47 = -93.7479807764409

x48 = -73.756027526324

x49 = 52.1932779494122

x50 = -41.768902326137

x51 = 80.1820124995759

x52 = 36.1997153493188

x53 = -47.7664883011721

x54 = -91.7487854514292

x55 = 92.177184449646

x56 = 32.2013246992954

x57 = -19.7777537510085

x58 = 10.2101761241668

x59 = 66.187645224494

x60 = -97.7463714264643

x61 = -31.7729257010786

x62 = -61.7608555762539

x63 = 4.21259014913177

x64 = -95.7471761014526

x65 = 76.1836218495525

x66 = 95.8899757675248

x67 = -13.7801677759734

x68 = 28.202934049272

x69 = 82.1812078245875

x70 = -57.7624649262305

x71 = -69.7576368763006

x72 = -65.7592462262773

x73 = 56.1916685994356

x74 = -55.7632696012188

x75 = 18.2069574242136

x76 = 20.2061527492253

x77 = -21.7769490760202

x78 = 40.1981059993421

x79 = 68.1868405495057

x80 = 74.1844265245408

x81 = 78.1828171745642

x82 = 48.1948872993889

x83 = -39.7697070011253

x84 = 88.1787937996226

x85 = -9.78177712595004

x86 = -37.7705116761136

x87 = 16.2077620992019

x88 = 60.190059249459

x89 = -35.771316351102

x90 = -85.7511994763941

x91 = 24.2045433992486

x92 = -1.78499582590329

x93 = 72.1852311995291

x94 = -45.7672929761604

x95 = -87.7503948014058

x96 = 86.1795984746109

x97 = -63.7600509012656

x98 = -49.7656836261838

x99 = 34.2005200243071

x100 = -75.7552228513357

График