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- La ecuación:
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Expresiones idénticas
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- sin((x/2)-6pi)=1
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- sin((x dividir por 2)-6*pi)=1
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Expresiones semejantes
- sin((x/2)+6*pi)=1
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Expresiones con funciones
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sin((x/2)-6*pi)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(\frac{x}{2} - 6 \pi \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$\frac{x}{2} = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 4 \pi n + \pi$$
$$x_{2} = 4 \pi n + \pi$$
$$\sin{\left(\frac{x}{2} - 6 \pi \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$\frac{x}{2} = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 4 \pi n + \pi$$
$$x_{2} = 4 \pi n + \pi$$
Respuesta numérica
[src]
x1 = -97.3893712473886
x2 = 78.539815851887
x3 = 28.2743346582797
x4 = -21.9911494917557
x5 = -84.8230012168657
x6 = 3.14159309886503
x7 = -59.690260457841
x8 = -72.2566317074393
x9 = 28.2743338651742
x10 = 91.1061865344779
x11 = 65.973446491358
x12 = 53.40707409148
x13 = -47.1238887712007
x14 = -21.9911493421841
x15 = 15.7079637526952
x16 = -47.1238907880697
x17 = -47.123889537864
x18 = -72.2566320255231
x19 = -34.5575202139462
x20 = -34.5575192441112
x21 = 16741.5472539237
x22 = -9.42477728929078
x23 = 28.2743348137489
x24 = -97.389371602892
x25 = -9.4247756652542
x26 = 3.14159163746103
x27 = 28.2743331152018
x28 = -97.3893724564835
x29 = -9.42477888681821
x30 = -47.1238892482917
x31 = 65.9734449700497
x32 = 15.7079634545545
x33 = -84.8230020968984
x34 = 15.7079626060796
x35 = 15.7079622686986
x36 = 53.4070754394033
x37 = 3.14159367655067
x38 = 28.2743330336433
x39 = -84.8230027834212
x40 = -84.8230026657071
x41 = 15.7079632663563
x42 = 91.1061859410303
x43 = 78.5398161786998
x44 = 91.1061882841015
x45 = 15.7079642015151
x46 = -34.5575197491116
x47 = 65.9734465921985
x48 = 78.5398162375612
x49 = 15.707964515786
x50 = -59.6902596538675
x51 = 53.4070749521362
x52 = 78.5398170241526
x53 = 3.14159420425446
x54 = 91.1061874144797
x55 = -59.6902594740223
x56 = 40.840705066392
x57 = 3.14159221873501
x58 = -47.1238918185856
x59 = 65.9734457530019
x60 = 53.4070761022138
x61 = -34.5575182039711
x62 = -84.8229998635885
x63 = 78.5398154218754
x64 = -97.389373195247
x65 = 40.840704648726
x66 = -72.2566301070981
x67 = 53.4070745656255
x68 = -59.6902612768606
x69 = 78.5398173426089
x70 = 53.4070740857414
x71 = 65.9734447951365
x72 = -21.9911477831607
x73 = -47.1238901219454
x74 = -59.6902611573573
x75 = 3.14159131070869
x76 = -9.42477695202933
x77 = -72.2566304993376
x78 = -9.42477813898924
x79 = 40.8407056713041
x80 = 14944.5562553885
x81 = -34.5575188772018
x82 = -21.9911477182159
x83 = 40.8407035181637
x84 = 91.1061853899956
x85 = -9.42477839608986
x86 = -72.2566334561862
x87 = 103.672556563684
x88 = -84.8230006270304
x89 = 40.8407055286336
x90 = 40.8407041945824
x91 = -21.9911485864393
x92 = -72.2566308637416
x93 = 91.106187979742
x93 = 91.106187979742