Sr Examen

sinx=0,13 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
          13
sin(x) = ---
         100
$$\sin{\left(x \right)} = \frac{13}{100}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{13}{100}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{13}{100} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{13}{100} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{13}{100} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{13}{100} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
              / 13\
x1 = pi - asin|---|
              \100/
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{13}{100} \right)}$$
         / 13\
x2 = asin|---|
         \100/
$$x_{2} = \operatorname{asin}{\left(\frac{13}{100} \right)}$$
x2 = asin(13/100)
Suma y producto de raíces [src]
suma
         / 13\       / 13\
pi - asin|---| + asin|---|
         \100/       \100/
$$\operatorname{asin}{\left(\frac{13}{100} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{13}{100} \right)}\right)$$
=
pi
$$\pi$$
producto
/         / 13\\     / 13\
|pi - asin|---||*asin|---|
\         \100//     \100/
$$\left(\pi - \operatorname{asin}{\left(\frac{13}{100} \right)}\right) \operatorname{asin}{\left(\frac{13}{100} \right)}$$
=
/         / 13\\     / 13\
|pi - asin|---||*asin|---|
\         \100//     \100/
$$\left(\pi - \operatorname{asin}{\left(\frac{13}{100} \right)}\right) \operatorname{asin}{\left(\frac{13}{100} \right)}$$
(pi - asin(13/100))*asin(13/100)
Respuesta numérica [src]
x1 = -47.25425878355
x2 = 69.2454073586786
x3 = 56.6790367443194
x4 = 50.3958514371398
x5 = 21.8607795954254
x6 = 90.9758179744009
x7 = -53.5374440907296
x8 = -62.7014840920927
x9 = -66.1038147050888
x10 = -56.4182987849131
x11 = -81.5510400136315
x12 = 37.8294808227807
x13 = 100.661333894577
x14 = 25.2631102084215
x15 = -40.9710734763705
x16 = 53.2767061313233
x17 = -75.2678547064519
x18 = 78.4094473600417
x19 = -97.5197412409867
x20 = -9.55514694047253
x21 = 12.6967395940623
x22 = -34.6878881691909
x23 = 65.8430767456825
x24 = 618.763383777486
x25 = -116.369297162525
x26 = -12.436001634656
x27 = -87.8342253208111
x28 = -3.27196163329294
x29 = 94.3781485873969
x30 = 88.0949632802174
x31 = -22.1215175548317
x32 = -37.5687428633744
x33 = -6.15281632747644
x34 = -50.1351134777335
x35 = 44.1126661299603
x36 = -100.40059593517
x37 = -94.1174106279907
x38 = 81.8117779730378
x39 = -25.0023722490152
x40 = 46.9935208241438
x41 = -59.8206293979092
x42 = 18.9799249012419
x43 = 28.143964902605
x44 = 97.2590032815804
x45 = 3.01122367388665
x46 = 84.6926326672213
x47 = -68.9846693992723
x48 = -329.997597606631
x49 = 15.5775942882458
x50 = -72.3870000122684
x51 = -28.4047028620113
x52 = 75.5285926658582
x53 = -84.9533706266276
x54 = 34.4271502097846
x55 = 6.41355428688273
x56 = 9.29440898106623
x57 = 31.5462955156011
x58 = -31.2855575561948
x59 = -2619.95790411418
x60 = 0.130368979703146
x61 = 72.1262620528621
x62 = -18.7191869418356
x63 = -78.670185319448
x64 = 59.5598914385029
x65 = 62.962222051499
x66 = -43.851928170554
x67 = -15.8383322476521
x68 = 40.7103355169642
x69 = -91.2365559338072
x69 = -91.2365559338072