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

5*sin(x)+cos(x)=5 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

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