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Ecuación 6*x^2+x-7=0
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Ecuación 2-5(3+2x)=17
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Ecuación (6*x+8)/2+5=5*x/3
- Expresar {x} en función de y en la ecuación:
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- 10*x+3*y=2
- 16*x-17*y=-15
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Expresiones idénticas
- 4cos(4x)+sin(4x)= cero
- 4 coseno de (4x) más seno de (4x) es igual a 0
- 4 coseno de (4x) más seno de (4x) es igual a cero
- 4cos4x+sin4x=0
- 4cos(4x)+sin(4x)=O
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Expresiones semejantes
- 4cos(4x)-sin(4x)=0
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Expresiones con funciones
- Seno sin
- Sin2xsinx-cos2xcosx1/2=0
- sin(2*x)^2/2+sin(x+3*pi/2)=1
- sin(2x)/cos(x)=0
- sin(pi+x)^(2)-2*cos(240)-3*sin(7*pi/2)+cos(pi-x)^(2)=0
- sin(x)=sqrt(3)/(4)
4cos(4x)+sin(4x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4*cos(4*x) + sin(4*x) = 0
$$\sin{\left(4 x \right)} + 4 \cos{\left(4 x \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(4 x \right)} + 4 \cos{\left(4 x \right)} = 0$$
cambiamos:
$$\frac{\sin{\left(4 x \right)}}{\cos{\left(4 x \right)}} = -4$$
o
$$\tan{\left(4 x \right)} = -4$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$4 x = \pi n + \operatorname{atan}{\left(4 \right)}$$
O
$$4 x = \pi n + \operatorname{atan}{\left(4 \right)}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{4} + \frac{\operatorname{atan}{\left(4 \right)}}{4}$$
$$\sin{\left(4 x \right)} + 4 \cos{\left(4 x \right)} = 0$$
cambiamos:
$$\frac{\sin{\left(4 x \right)}}{\cos{\left(4 x \right)}} = -4$$
o
$$\tan{\left(4 x \right)} = -4$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$4 x = \pi n + \operatorname{atan}{\left(4 \right)}$$
O
$$4 x = \pi n + \operatorname{atan}{\left(4 \right)}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{4} + \frac{\operatorname{atan}{\left(4 \right)}}{4}$$
Respuesta rápida
[src]
-atan(4)
x1 = ---------
4
$$x_{1} = - \frac{\operatorname{atan}{\left(4 \right)}}{4}$$
x1 = -atan(4)/4
Suma y producto de raíces
[src]
suma
-atan(4)
---------
4
$$- \frac{\operatorname{atan}{\left(4 \right)}}{4}$$
=
-atan(4)
---------
4
$$- \frac{\operatorname{atan}{\left(4 \right)}}{4}$$
producto
-atan(4)
---------
4
$$- \frac{\operatorname{atan}{\left(4 \right)}}{4}$$
=
-atan(4)
---------
4
$$- \frac{\operatorname{atan}{\left(4 \right)}}{4}$$
-atan(4)/4
Respuesta numérica
[src]
x1 = 85.2769453944049
x2 = -61.592511160918
x3 = 8.30792538145492
x4 = 57.0026115120967
x5 = 26.3720831395962
x6 = 34.2260647735707
x7 = -5.82924155969915
x8 = 96.2725196819691
x9 = 82.1353527408151
x10 = 89.9893343747895
x11 = -17.6102140106609
x12 = 64.0711949826738
x13 = -83.5836597360465
x14 = 27.9428794663911
x15 = -57.6655203439307
x16 = -49.8115387099563
x17 = -31.7473809518149
x18 = 92.3455288649819
x19 = -12.1124268668787
x20 = 52.290222531712
x21 = 20.0888978324166
x22 = 9.87872170824982
x23 = -8.18543604989149
x24 = -96.1500303504057
x25 = -85.9398542262389
x26 = 56.2172133486993
x27 = 35.7968611003656
x28 = 67.998185799661
x29 = -49.0261405465588
x30 = -23.8933993178405
x31 = 44.4362408977375
x32 = -19.9664085008532
x33 = 42.0800464075452
x34 = -75.729678102072
x35 = 5.95173089126258
x36 = 88.4185380479946
x37 = -9.75623237668639
x38 = 2.02474007427534
x39 = 22.445092322609
x40 = 71.9251766166482
x41 = -93.7938358602134
x42 = -74.1588817752772
x43 = 86.0623435578023
x44 = 78.2083619238278
x45 = 60.1442041656865
x46 = -220.242940167203
x47 = 75.8521674336355
x48 = 49.9340280415197
x49 = -79.6566689190593
x50 = -89.8668450432261
x51 = -39.6013625857894
x52 = -13.6832231936736
x53 = 4.38093456446768
x54 = 48.3632317147248
x55 = 30.2990739565835
x56 = -82.0128634092516
x57 = -60.0217148341231
x58 = -1.9022507427119
x59 = 97.843316008764
x60 = 723.80565223653
x61 = 93.9163251917768
x62 = 12.2349161984422
x63 = 70.3543802898533
x64 = 16.1619070154294
x65 = 31.8698702833784
x66 = -20.7518066642507
x67 = -45.884547892969
x68 = -67.8756964680976
x69 = -78.0858725922644
x70 = -53.7385295269435
x71 = 66.4273894728661
x72 = -71.8026872850848
x73 = -38.0305662589945
x74 = -63.9487056511103
x75 = -30.17658462502
x76 = -52.1677332001486
x77 = 109.624288459726
x78 = 100.199510498956
x79 = -34.1035754420073
x80 = -100.077021167393
x81 = 53.8610188585069
x82 = 24.0158886494039
x83 = 46.0070372245324
x84 = -104.789410147778
x85 = -0.331454415917008
x86 = -41.9575570759818
x87 = 38.153055590558
x88 = -56.0947240171358
x89 = -27.8203901348277
x90 = 13.8057125252371
x91 = 74.2813711068406
x92 = -35.6743717688022
x93 = -16.039417683866
x94 = -97.7208266772006
x94 = -97.7208266772006