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sin(5x/2)*sin(3x/2)+cos(5x/2)*cos(3x/2)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /5*x\    /3*x\      /5*x\    /3*x\    
sin|---|*sin|---| + cos|---|*cos|---| = 0
   \ 2 /    \ 2 /      \ 2 /    \ 2 /    
$$\sin{\left(\frac{3 x}{2} \right)} \sin{\left(\frac{5 x}{2} \right)} + \cos{\left(\frac{3 x}{2} \right)} \cos{\left(\frac{5 x}{2} \right)} = 0$$
Gráfica
Respuesta numérica [src]
x1 = 7.85398163397448
x2 = -73.8274273593601
x3 = -54.9778714378214
x4 = 73.8274273593601
x5 = -26.7035375555132
x6 = -1.5707963267949
x7 = -95.8185759344887
x8 = -39.2699081698724
x9 = -4.71238898038469
x10 = 14.1371669411541
x11 = 10.9955742875643
x12 = 58.1194640914112
x13 = 70.6858347057703
x14 = -36.1283155162826
x15 = 54.9778714378214
x16 = 23.5619449019235
x17 = -387.986692718339
x18 = -92.6769832808989
x19 = -86.3937979737193
x20 = -10.9955742875643
x21 = 92.6769832808989
x22 = 39.2699081698724
x23 = -32.9867228626928
x24 = 98.9601685880785
x25 = -3576.70323611198
x26 = 36.1283155162826
x27 = -7.85398163397448
x28 = -58.1194640914112
x29 = -67.5442420521806
x30 = -61.261056745001
x31 = 26.7035375555132
x32 = 86.3937979737193
x33 = -48.6946861306418
x34 = 51.8362787842316
x35 = -42.4115008234622
x36 = -89.5353906273091
x37 = -98.9601685880785
x38 = -14.1371669411541
x39 = 80.1106126665397
x40 = -64.4026493985908
x41 = 95.8185759344887
x42 = 1.5707963267949
x43 = 45.553093477052
x44 = -17.2787595947439
x45 = -2266.65909956504
x46 = 4.71238898038469
x47 = 48.6946861306418
x48 = 76.9690200129499
x49 = -45.553093477052
x50 = 20.4203522483337
x51 = 17.2787595947439
x52 = -83.2522053201295
x53 = -20.4203522483337
x54 = -80.1106126665397
x55 = 61.261056745001
x56 = 32.9867228626928
x57 = 64.4026493985908
x58 = -23.5619449019235
x59 = 29.845130209103
x60 = 42.4115008234622
x61 = 89.5353906273091
x62 = -51.8362787842316
x63 = -70.6858347057703
x64 = 83.2522053201295
x65 = 67.5442420521806
x66 = -29.845130209103
x67 = -76.9690200129499
x67 = -76.9690200129499