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sin(x)=1-(sqrt(3)) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
               ___
sin(x) = 1 - \/ 3 
$$\sin{\left(x \right)} = 1 - \sqrt{3}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = 1 - \sqrt{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(1 - \sqrt{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(1 - \sqrt{3} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(1 - \sqrt{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(1 - \sqrt{3} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
              /      ___\
x1 = pi - asin\1 - \/ 3 /
$$x_{1} = \pi - \operatorname{asin}{\left(1 - \sqrt{3} \right)}$$
         /      ___\
x2 = asin\1 - \/ 3 /
$$x_{2} = \operatorname{asin}{\left(1 - \sqrt{3} \right)}$$
x2 = asin(1 - sqrt(3))
Suma y producto de raíces [src]
suma
         /      ___\       /      ___\
pi - asin\1 - \/ 3 / + asin\1 - \/ 3 /
$$\operatorname{asin}{\left(1 - \sqrt{3} \right)} + \left(\pi - \operatorname{asin}{\left(1 - \sqrt{3} \right)}\right)$$
=
pi
$$\pi$$
producto
/         /      ___\\     /      ___\
\pi - asin\1 - \/ 3 //*asin\1 - \/ 3 /
$$\left(\pi - \operatorname{asin}{\left(1 - \sqrt{3} \right)}\right) \operatorname{asin}{\left(1 - \sqrt{3} \right)}$$
=
/         /      ___\\     /      ___\
\pi - asin\1 - \/ 3 //*asin\1 - \/ 3 /
$$\left(\pi - \operatorname{asin}{\left(1 - \sqrt{3} \right)}\right) \operatorname{asin}{\left(1 - \sqrt{3} \right)}$$
(pi - asin(1 - sqrt(3)))*asin(1 - sqrt(3))
Respuesta numérica [src]
x1 = 24.3114137673409
x2 = 35.3788466508651
x3 = 29.0956613436856
x4 = -2.32026519221238
x5 = -101.352292376251
x6 = 18.0282284601613
x7 = -13.3876980757366
x8 = -32.2372539972753
x9 = 16.5292907293264
x10 = 99.709637453496
x11 = -90.2848594927266
x12 = 30.5945990745205
x13 = 5.46185784580217
x14 = -8.60345049939196
x15 = -7.104512768557
x16 = 91.9275144154814
x17 = -176.750516062406
x18 = -2308.24927292712
x19 = 62.0105256104184
x20 = -19.6708833829162
x21 = -40.0193770352899
x22 = -63.6531805331733
x23 = 74.5768962247776
x24 = -126.485033604969
x25 = 73.0779584939427
x26 = -14.8866358065715
x27 = 41.6620319580447
x28 = -76.2195511475325
x29 = -52.5857476496491
x30 = -33.7361917281103
x31 = -69.9363658403529
x32 = -258.43192505574
x33 = -95.0691070690712
x34 = 80.8600815319572
x35 = 2397.85652215039
x36 = -610.290302257797
x37 = -46.3025623424695
x38 = -25.9540686900958
x39 = 143.691934603753
x40 = -0.821327461377417
x41 = 98.210699722661
x42 = 54.2284025724039
x43 = -51.0868099188141
x44 = -44.8036246116345
x45 = -77.7184888783674
x46 = -65.1521182640082
x47 = -21.1698211137511
x48 = 68.293710917598
x49 = -38.5204393044549
x50 = -88.7859217618916
x51 = 10.2461054221468
x52 = 87.1432668391368
x53 = -84.001674185547
x54 = 55.7273403032389
x55 = 93.4264521463164
x56 = -27.4530064209307
x57 = 79.3611438011223
x58 = 85.6443291083018
x59 = -96.5680447999062
x60 = -71.4353035711878
x61 = 206.523787675549
x62 = 36.8777843817001
x63 = 66.7947731867631
x64 = 60.5115878795835
x65 = 11.7450431529818
x66 = 49.4441549960593
x67 = 43.1609696888797
x68 = -57.3699952259937
x69 = 22.812476036506
x70 = -82.502736454712
x71 = -58.8689329568287
x72 = 3.96292011496721
x73 = 47.9452172652243
x73 = 47.9452172652243