Sr Examen

6cosp la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
6*cos(p) = 0
$$6 \cos{\left(p \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$6 \cos{\left(p \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0

Obtenemos:
$$6 \cos{\left(p \right)} = 0$$
Dividamos ambos miembros de la ecuación en 6

La ecuación se convierte en
$$\cos{\left(p \right)} = 0$$
Esta ecuación se reorganiza en
$$p = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$p = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$p = \pi n + \frac{\pi}{2}$$
$$p = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
     pi
p1 = --
     2 
$$p_{1} = \frac{\pi}{2}$$
     3*pi
p2 = ----
      2  
$$p_{2} = \frac{3 \pi}{2}$$
p2 = 3*pi/2
Suma y producto de raíces [src]
suma
pi   3*pi
-- + ----
2     2  
$$\frac{\pi}{2} + \frac{3 \pi}{2}$$
=
2*pi
$$2 \pi$$
producto
pi 3*pi
--*----
2   2  
$$\frac{\pi}{2} \frac{3 \pi}{2}$$
=
    2
3*pi 
-----
  4  
$$\frac{3 \pi^{2}}{4}$$
3*pi^2/4
Respuesta numérica [src]
p1 = 48.6946861306418
p2 = 54.9778714378214
p3 = -98.9601685880785
p4 = 67.5442420521806
p5 = 76.9690200129499
p6 = 36.1283155162826
p7 = 58.1194640914112
p8 = 14.1371669411541
p9 = -29.845130209103
p10 = 61.261056745001
p11 = -36.1283155162826
p12 = -4.71238898038469
p13 = -39.2699081698724
p14 = 1.5707963267949
p15 = -14.1371669411541
p16 = -64.4026493985908
p17 = -67.5442420521806
p18 = 92.6769832808989
p19 = -51.8362787842316
p20 = -86.3937979737193
p21 = 42.4115008234622
p22 = -17.2787595947439
p23 = -45.553093477052
p24 = -89.5353906273091
p25 = -1.5707963267949
p26 = 39.2699081698724
p27 = 23.5619449019235
p28 = 7.85398163397448
p29 = -58.1194640914112
p30 = -61.261056745001
p31 = -73.8274273593601
p32 = 73.8274273593601
p33 = 29.845130209103
p34 = 4.71238898038469
p35 = 86.3937979737193
p36 = 64.4026493985908
p37 = 89.5353906273091
p38 = -20.4203522483337
p39 = -387.986692718339
p40 = -26.7035375555132
p41 = 98.9601685880785
p42 = 51.8362787842316
p43 = 83.2522053201295
p44 = -48.6946861306418
p45 = -54.9778714378214
p46 = 70.6858347057703
p47 = -95.8185759344887
p48 = 26.7035375555132
p49 = 80.1106126665397
p50 = -23.5619449019235
p51 = -7.85398163397448
p52 = -83.2522053201295
p53 = -76.9690200129499
p54 = -42.4115008234622
p55 = -32.9867228626928
p56 = -3626.96871856942
p57 = 17.2787595947439
p58 = 32.9867228626928
p59 = 20.4203522483337
p60 = -70.6858347057703
p61 = -10.9955742875643
p62 = -92.6769832808989
p63 = 45.553093477052
p64 = 10.9955742875643
p65 = -80.1106126665397
p66 = 95.8185759344887
p67 = -2266.65909956504
p67 = -2266.65909956504