Sr Examen

Otras calculadoras

sin(x)=0,9 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) = 9/10
$$\sin{\left(x \right)} = \frac{9}{10}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{9}{10}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{9}{10} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{9}{10} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{9}{10} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{9}{10} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi - asin(9/10) + asin(9/10)
$$\operatorname{asin}{\left(\frac{9}{10} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{9}{10} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(9/10))*asin(9/10)
$$\left(\pi - \operatorname{asin}{\left(\frac{9}{10} \right)}\right) \operatorname{asin}{\left(\frac{9}{10} \right)}$$
=
(pi - asin(9/10))*asin(9/10)
$$\left(\pi - \operatorname{asin}{\left(\frac{9}{10} \right)}\right) \operatorname{asin}{\left(\frac{9}{10} \right)}$$
(pi - asin(9/10))*asin(9/10)
Respuesta rápida [src]
x1 = pi - asin(9/10)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{9}{10} \right)}$$
x2 = asin(9/10)
$$x_{2} = \operatorname{asin}{\left(\frac{9}{10} \right)}$$
x2 = asin(9/10)
Respuesta numérica [src]
x1 = -67.9952688639768
x2 = 32.5356960508966
x3 = -29.3941033973068
x4 = 77.4200468247462
x5 = -85.942771161923
x6 = -16.8277327829476
x7 = 2.02182313859116
x8 = 33.4377496744891
x9 = -93.1280100926952
x10 = 1.11976951499863
x11 = 82.8011785083333
x12 = -35.6772887044864
x13 = -67.0932152403843
x14 = -98.5091417762822
x15 = 101.650734429872
x16 = 89.9864174391054
x17 = 71.1368615175666
x18 = 58.5704909032074
x19 = -4.26136216858843
x20 = -54.5268446260251
x21 = -142.491438926539
x22 = -73.3764005475639
x23 = -99.4111953998747
x24 = -118.260751321414
x25 = -2977.11006608813
x26 = -60.8100299332047
x27 = 52.2873055960278
x28 = -5.16341579218095
x29 = -80.561639478336
x30 = -299.571071606029
x31 = 19.9693254365374
x32 = -17.7297864065401
x33 = -92.2259564691026
x34 = -24.0129717137197
x35 = 46.0041202888483
x36 = 7.40295482217822
x37 = 45.1020666652557
x38 = -30.2961570208993
x39 = -79.6595858547435
x40 = 57.6684372796149
x41 = 26.252510743717
x42 = 63.9516225867945
x43 = -256.490828079364
x44 = -48.2436593188455
x45 = -55.4288982496176
x46 = 550414.435863754
x47 = 20.8713790601299
x48 = -23.1109180901272
x49 = 89.0843638155128
x50 = 51.3852519724353
x51 = -41.9604740116659
x52 = -49.1457129424381
x53 = -10.544547475768
x54 = -11.4466010993605
x55 = 39.7209349816687
x56 = 95.3675491226924
x57 = 38.8188813580762
x58 = -61.7120835567972
x59 = -86.8448247855156
x60 = 83.7032321319258
x61 = 70.2348078939741
x62 = 76.5179932011537
x63 = -74.2784541711564
x64 = 14.5881937529503
x65 = -42.8625276352585
x66 = 96.269602746285
x67 = 8.30500844577075
x68 = 13.6861401293578
x69 = 64.853676210387
x70 = -36.5793423280789
x71 = 27.1545643673095
x72 = -217.889662612694
x72 = -217.889662612694