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sinn/2+cosn+tg0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(n)                      
------ + cos(n) + tan(0) = 0
  2                         
$$\left(\frac{\sin{\left(n \right)}}{2} + \cos{\left(n \right)}\right) + \tan{\left(0 \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\left(\frac{\sin{\left(n \right)}}{2} + \cos{\left(n \right)}\right) + \tan{\left(0 \right)} = 0$$
cambiamos:
$$\frac{\sin{\left(n \right)}}{2 \cos{\left(n \right)}} = -1$$
o
$$\frac{\tan{\left(n \right)}}{2} = -1$$
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en 1/2

La ecuación se convierte en
$$\tan{\left(n \right)} = 2$$
Esta ecuación se reorganiza en
$$n = \pi m + \operatorname{atan}{\left(2 \right)}$$
O
$$n = \pi m + \operatorname{atan}{\left(2 \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-atan(2)
$$- \operatorname{atan}{\left(2 \right)}$$
=
-atan(2)
$$- \operatorname{atan}{\left(2 \right)}$$
producto
-atan(2)
$$- \operatorname{atan}{\left(2 \right)}$$
=
-atan(2)
$$- \operatorname{atan}{\left(2 \right)}$$
-atan(2)
Respuesta rápida [src]
n1 = -atan(2)
$$n_{1} = - \operatorname{atan}{\left(2 \right)}$$
n1 = -atan(2)
Respuesta numérica [src]
n1 = -60.7974091360002
n2 = 39.7335557788732
n3 = -32.523075253692
n4 = 96.2822235434895
n5 = -63.93900178959
n6 = 11.4592218965651
n7 = 2.0344439357957
n8 = -45.0894458680512
n9 = -16.8151119857431
n10 = 24.0255925109243
n11 = 55.4415190468222
n12 = 33.4503704716936
n13 = -51.3726311752308
n14 = -85.9301503647185
n15 = 30.3087778181038
n16 = 27.167185164514
n17 = -54.5142238288206
n18 = -4.24874137138388
n19 = -104.779706286257
n20 = 99.4238161970793
n21 = 64.8662970075916
n22 = 83.7158529291303
n23 = 52.2999263932324
n24 = 5.1760365893855
n25 = 36.5919631252834
n26 = -98.4965209790777
n27 = 42.875148432463
n28 = -23.0982972929226
n29 = -1.10714871779409
n30 = -10.5319266785635
n31 = -89.0717430183083
n32 = 61.7247043540018
n33 = -82.7885577111287
n34 = -73.3637797503593
n35 = 14.6008145501549
n36 = 77.4326676219507
n37 = 68.0078896611814
n38 = -48.231038521641
n39 = 8.31762924297529
n40 = 89.9990382363099
n41 = -95.3549283254879
n42 = -41.9478532144614
n43 = 74.2910749683609
n44 = -26.2398899465124
n45 = -67.0805944431797
n46 = -92.2133356718981
n47 = -57.6558164824104
n48 = 86.8574455827201
n49 = 93.1406308898997
n50 = -35.6646679072818
n51 = 17.7424072037447
n52 = -29.3814826001022
n53 = -13.6735193321533
n54 = -243.009783044208
n55 = -38.8062605608716
n56 = -70.2221870967695
n57 = 71.1494823147711
n58 = -19.9567046393328
n59 = -76.5053724039491
n60 = 46.0167410860528
n61 = 20.8839998573345
n62 = 49.1583337396426
n63 = -79.6469650575389
n64 = 58.583111700412
n65 = 80.5742602755405
n66 = -7.39033402497368
n66 = -7.39033402497368