5*sin(x)+cos=5 (уравнение)

Найду корень уравнения: 5*sin(x)+cos=5

Вы ввели

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

$$5 \sin{\left(x \right)} + \cos{\left(x \right)} = 5$$

Быстрый ответ

     pi
x1 = --
     2 

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

x2 = 2*atan(2/3)

$$x_{2} = 2 \operatorname{atan}{\left(\frac{2}{3} \right)}$$

Сумма и произведение корней

сумма

pi              
-- + 2*atan(2/3)
2               

$$2 \operatorname{atan}{\left(\frac{2}{3} \right)} + \frac{\pi}{2}$$

=

pi              
-- + 2*atan(2/3)
2               

$$2 \operatorname{atan}{\left(\frac{2}{3} \right)} + \frac{\pi}{2}$$

произведение

pi            
--*2*atan(2/3)
2             

$$\frac{\pi}{2} \cdot 2 \operatorname{atan}{\left(\frac{2}{3} \right)}$$

=

pi*atan(2/3)

$$\pi \operatorname{atan}{\left(\frac{2}{3} \right)}$$

Численный ответ

x1 = 38.8751170501727

x2 = 14.1371669411541

x3 = 20.4203522483337

x4 = -55.3726625575211

x5 = 89.5353906273091

x6 = -61.6558478647007

x7 = 51.4414876645318

x8 = -93.0717744005987

x9 = 39.2699081698724

x10 = 26.7035375555132

x11 = 64.4026493985908

x12 = -11.390365407264

x13 = 95.8185759344887

x14 = 70.2910435860706

x15 = 32.9867228626928

x16 = -80.5054037862395

x17 = -29.845130209103

x18 = 76.5742288932502

x19 = 51.8362787842316

x20 = -42.806291943162

x21 = 89.1405995076094

x22 = 101.706970121969

x23 = -86.7885890934191

x24 = 32.5919317429931

x25 = -67.9390331718803

x26 = 45.553093477052

x27 = -10.9955742875643

x28 = -61.261056745001

x29 = 20.0255611286339

x30 = -48.6946861306418

x31 = -17.6735507144436

x32 = 95.4237848147889

x33 = -54.9778714378214

x34 = 83.2522053201295

x35 = 57.7246729717114

x36 = 45.1583023573522

x37 = -99.3549597077782

x38 = -86.3937979737193

x39 = -30.2399213288028

x40 = -36.5231066359824

x41 = -5.10718010008445

x42 = -44728.8201966044

x43 = -73.8274273593601

x44 = -92.6769832808989

x45 = -181.036368701113

x46 = -67.5442420521806

x47 = -17.2787595947439

x48 = 82.8574142004298

x49 = 1.5707963267949

x50 = 13.7423758214543

x51 = -23.9567360216232

x52 = -49.0894772503416

x53 = -4.71238898038469

x54 = -80.1106126665397

x55 = -42.4115008234622

x56 = 58.1194640914112

x57 = 26.3087464358135

x58 = 7.85398163397448

x59 = 70.6858347057703

x60 = -74.2222184790599

x61 = 76.9690200129499

x62 = 64.007858278891

x63 = 139.800873084746

x64 = 7.45919051427472

x65 = 1.17600520709514

x66 = -23.5619449019235

x67 = -36.1283155162826

x68 = -98.9601685880785

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