1+cos2y=0 (уравнение)

Найду корень уравнения: 1+cos2y=0

Вы ввели

1 + cos(2*y) = 0

$$\cos{\left(2 y \right)} + 1 = 0$$

Подробное решение

Дано уравнение
$$\cos{\left(2 y \right)} + 1 = 0$$
- это простейшее тригонометрическое ур-ние

Перенесём 1 в правую часть ур-ния

с изменением знака при 1

Получим:
$$\cos{\left(2 y \right)} = -1$$
Это ур-ние преобразуется в
$$2 y = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$2 y = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
Или
$$2 y = \pi n + \pi$$
$$2 y = \pi n$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$2$$
получим ответ:
$$y_{1} = \frac{\pi n}{2} + \frac{\pi}{2}$$
$$y_{2} = \frac{\pi n}{2}$$

Быстрый ответ

     pi
y1 = --
     2 

$$y_{1} = \frac{\pi}{2}$$

Численный ответ

y1 = -70.6858346386357

y2 = 32.986722928111

y3 = -39.2699081528781

y4 = -17.2787598091171

y5 = -51.8362786897497

y6 = -61.2610569641117

y7 = -70.685834448838

y8 = -4.71238872430683

y9 = -39.2699083866483

y10 = -95.8185758681287

y11 = 98.9601685932308

y12 = 23.5619449395428

y13 = 70.6858345016621

y14 = 48.6946859238715

y15 = 54.9778714849733

y16 = 14.1371671048484

y17 = -1.57079642969308

y18 = 20.4203521497111

y19 = -29.8451300963672

y20 = 17.2787595624179

y21 = 7.85398174058521

y22 = 86.393797888273

y23 = -86.393797765473

y24 = -58.1194639993376

y25 = -92.6769831823972

y26 = -54.9778716831146

y27 = -36.1283154192437

y28 = -89.5353907467661

y29 = 42.4115007291722

y30 = 80.1106126771746

y31 = 80.1106131434937

y32 = -42.4115006098842

y33 = 10.9955743696636

y34 = -10.9955745350309

y35 = 39.2699084246933

y36 = 58.1194644379895

y37 = 61.2610569989704

y38 = 1.5707965454425

y39 = 76.9690200400775

y40 = -4.7123889912442

y41 = 36.1283156002139

y42 = -98.960168684456

y43 = -76.9690202568697

y44 = 39.2699081179815

y45 = -64.4026491876462

y46 = -76.9690198771149

y47 = 54.9778711883962

y48 = 92.6769830795146

y49 = -98.96016883042

y50 = 83.2522055730903

y51 = 76.9690197631883

y52 = -26.7035372990183

y53 = 45.553093700501

y54 = -32.9867227513827

y55 = 32.9867226137576

y56 = 64.4026493086922

y57 = -73.8274272800405

y58 = 541.924732890135

y59 = 26.7035373461441

y60 = 29.845130320338

y61 = 73.8274274795554

y62 = -80.1106125795659

y63 = 61.2610566752601

y64 = -92.6769830239371

y65 = 4.71238876848081

y66 = -23.5619450090417

y67 = -54.9778713137198

y68 = 10.9955740392793

y69 = -83.2522055415057

y70 = -20.4203520321877

y71 = -48.6946858738636

y72 = -26.7035375427973

y73 = -45.5530935883361

y74 = 76.9690207492347

y75 = -7.85398149857354

y76 = 67.5442422779275

y77 = 98.9601683381274

y78 = 95.8185760590309

y79 = 17.2787598502655

y80 = 51.8362788999928

y81 = -48.6946860920117

y82 = -98.9601684414698

y83 = -14.1371668392726

y84 = -10.9955741902138

y85 = 89.5353908552844

y86 = 83.2522052340866

y87 = -17.2787590276524

y88 = -32.9867231091652

y89 = -61.2610562242523

y90 = 23.5619451230057

y91 = -67.5442421675773

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