sin(y)=1 (уравнение)

Учитель очень удивится увидев твоё верное решение 😼

Неизвестное в уравнении :

Искать численное решение на промежутке:

[, ]

    Найду корень уравнения: sin(y)=1

    Решение

    Вы ввели [src]
    sin(y) = 1
    $$\sin{\left(y \right)} = 1$$
    Подробное решение
    Дано уравнение
    $$\sin{\left(y \right)} = 1$$
    - это простейшее тригонометрическое ур-ние
    Это ур-ние преобразуется в
    $$y = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
    $$y = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
    Или
    $$y = 2 \pi n + \frac{\pi}{2}$$
    $$y = 2 \pi n + \frac{\pi}{2}$$
    , где n - любое целое число
    График
    Быстрый ответ [src]
         pi
    y1 = --
         2 
    $$y_{1} = \frac{\pi}{2}$$
    Численный ответ [src]
    y1 = -80.1106131679426
    y2 = -17.2787590920677
    y3 = -67.5442415371049
    y4 = -92.6769837307794
    y5 = -80.1106124650157
    y6 = -29.8451297624452
    y7 = -48.6946857788076
    y8 = 76.9690196732095
    y9 = 1.57079657289894
    y10 = -4.71238942125338
    y11 = 32.9867225164981
    y12 = 7.85398112872719
    y13 = -73.8274272798455
    y14 = 32.9867233134552
    y15 = -67.5442421706656
    y16 = 83.2522056907544
    y17 = -10.9955746401247
    y18 = 70.6858352127237
    y19 = -98.9601681513438
    y20 = -29.8451300954883
    y21 = 95.8185764110282
    y22 = 7.85398177249874
    y23 = 51.8362788867584
    y24 = -86.3937984749131
    y25 = -80.1106125781572
    y26 = -17.2787583315643
    y27 = 64.4026493072124
    y28 = 83.252204888767
    y29 = -73.8274277616689
    y30 = 95.8185759975842
    y31 = 58.1194643979608
    y32 = 95.8185760629547
    y33 = -54.9778717966574
    y34 = -42.4115013226904
    y35 = 14.1371673791846
    y36 = 20.420352160156
    y37 = -61.2610569934486
    y38 = 89.5353901350773
    y39 = 7.85398174307326
    y40 = -36.1283153448593
    y41 = 26.7035380604159
    y42 = 20.4203521477756
    y43 = 3017.49974516717
    y44 = 1.57079525114023
    y45 = 45.5530922954328
    y46 = -54.9778709962906
    y47 = 58.1194636580315
    y48 = 51.8362789031518
    y49 = 102.101760799573
    y50 = -61.2610562447228
    y51 = 1.57079769954017
    y52 = -36.1283160197768
    y53 = -73.8274269047688
    y54 = -98.9601689530982
    y55 = -17.2787598356363
    y56 = -23.5619450115115
    y57 = -29.8451306226524
    y58 = 26.7035387715281
    y59 = 64.4026499096387
    y60 = -86.3937988139119
    y61 = 45.5530929823099
    y62 = -4.71238862219396
    y63 = 45.553093730794
    y64 = 95.8185754266891
    y65 = 89.5353893728458
    y66 = 39.2699077336963
    y67 = 14.1371665172699
    y68 = -86.3937977431483
    y69 = 64.4026492731727
    y70 = -48.6946865760795
    y71 = 89.535390888605
    y72 = 70.6858358251975
    y73 = 20.4203527610188
    y74 = -36.1283154173375
    y75 = 26.703537322248
    y76 = 51.8362782775539
    y77 = 70.6858344802043
    y78 = -77664.8827844698
    y79 = 1.57079582971902
    y80 = -23.5619449492902
    y81 = -42.4115017818136
    y82 = -42.4115005850814
    y83 = 58.119464520069
    y84 = -61.2610555612794
    y85 = -67.5442420547782
    y86 = -10.9955738413568
    y87 = 14.1371671100222
    y88 = 39.2699085343272
    y89 = -92.6769829355125
    y90 = -23.5619443878998
    y91 = 76.9690204681432
    График
    sin(y)=1 (уравнение) /media/krcore-image-pods/hash/equation/3/23/f16c41d43ca24b76e6caa7a87a880.png