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5*sin(x)+cos(x)=5

5*sin(x)+cos(x)=5 уравнение

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Численное решение:

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Решение

Вы ввели [src]
5*sin(x) + cos(x) = 5
$$5 \sin{\left(x \right)} + \cos{\left(x \right)} = 5$$
График
Сумма и произведение корней [src]
сумма
pi              
-- + 2*atan(2/3)
2               
$$\left(\frac{\pi}{2}\right) + \left(2 \operatorname{atan}{\left(\frac{2}{3} \right)}\right)$$
=
pi              
-- + 2*atan(2/3)
2               
$$2 \operatorname{atan}{\left(\frac{2}{3} \right)} + \frac{\pi}{2}$$
произведение
pi              
-- * 2*atan(2/3)
2               
$$\left(\frac{\pi}{2}\right) * \left(2 \operatorname{atan}{\left(\frac{2}{3} \right)}\right)$$
=
pi*atan(2/3)
$$\pi \operatorname{atan}{\left(\frac{2}{3} \right)}$$
Быстрый ответ [src]
      pi
x_1 = --
      2 
$$x_{1} = \frac{\pi}{2}$$
x_2 = 2*atan(2/3)
$$x_{2} = 2 \operatorname{atan}{\left(\frac{2}{3} \right)}$$
Численный ответ [src]
x1 = 89.5353906273091
x2 = -23.5619449019235
x3 = 32.9867228626928
x4 = 89.1405995076094
x5 = -48.6946861306418
x6 = -55.3726625575211
x7 = 95.4237848147889
x8 = -67.9390331718803
x9 = -98.9601685880785
x10 = -92.6769832808989
x11 = -93.0717744005987
x12 = -44728.8201966044
x13 = -5.10718010008445
x14 = -61.6558478647007
x15 = 64.007858278891
x16 = 7.45919051427472
x17 = -86.3937979737193
x18 = 51.8362787842316
x19 = 13.7423758214543
x20 = -67.5442420521806
x21 = 45.553093477052
x22 = 51.4414876645318
x23 = -30.2399213288028
x24 = 14.1371669411541
x25 = 139.800873084746
x26 = 76.9690200129499
x27 = -61.261056745001
x28 = -42.4115008234622
x29 = 101.706970121969
x30 = -49.0894772503416
x31 = -11.390365407264
x32 = 57.7246729717114
x33 = 26.7035375555132
x34 = 83.2522053201295
x35 = 20.0255611286339
x36 = -99.3549597077782
x37 = -23.9567360216232
x38 = -80.1106126665397
x39 = 26.3087464358135
x40 = 45.1583023573522
x41 = -29.845130209103
x42 = 1.17600520709514
x43 = 64.4026493985908
x44 = -86.7885890934191
x45 = -80.5054037862395
x46 = 70.6858347057703
x47 = 38.8751170501727
x48 = -74.2222184790599
x49 = 76.5742288932502
x50 = -17.6735507144436
x51 = -36.5231066359824
x52 = 95.8185759344887
x53 = -17.2787595947439
x54 = 32.5919317429931
x55 = 70.2910435860706
x56 = -54.9778714378214
x57 = 82.8574142004298
x58 = 39.2699081698724
x59 = -10.9955742875643
x60 = -36.1283155162826
x61 = 20.4203522483337
x62 = 58.1194640914112
x63 = 7.85398163397448
x64 = -42.806291943162
x65 = 1.5707963267949
x66 = -73.8274273593601
x67 = -4.71238898038469
x68 = -181.036368701113
x68 = -181.036368701113
График
5*sin(x)+cos(x)=5 уравнение