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2sin2x-sqrt2*sinx=sqrt2cosx la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
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2*sin(2*x) - \/ 2 *sin(x) = \/ 2*cos(x) 
$$- \sqrt{2} \sin{\left(x \right)} + 2 \sin{\left(2 x \right)} = \sqrt{2 \cos{\left(x \right)}}$$
Gráfica
Respuesta numérica [src]
x1 = 63.5519725065829 + 0.236170895651387*i
x2 = 0.720119434787022 + 0.236170895651387*i
x3 = 57.2687871994033 - 0.236170895651387*i
x4 = -1.3749828401724
x5 = -74.678104251368 + 0.236170895651387*i
x6 = 50.9856018922237 + 0.236170895651387*i
x7 = 42.6073143100847
x8 = -57.9236506047887
x9 = 19.5696753563258 + 0.236170895651387*i
x10 = 13.2864900491462 - 0.236170895651387*i
x11 = 32.136045970685 + 0.236170895651387*i
x12 = 69.8351578137625 - 0.236170895651387*i
x13 = 76.1183431209421 - 0.236170895651387*i
x14 = -7.65816814735199
x15 = -70.4900212191479
x16 = -43.2621777154701 + 0.236170895651387*i
x17 = -36.9789924082905 + 0.236170895651387*i
x18 = 38.4192312778645 + 0.236170895651387*i
x19 = -51.6404652976091
x20 = 25.8528606635054 - 0.236170895651387*i
x21 = 57.2687871994033 + 0.236170895651387*i
x22 = 94.9678990424808 + 0.236170895651387*i
x23 = -95.6227624478662
x24 = -20.2245387617112
x25 = 17.4745730813664
x26 = -45.3572799904295
x27 = 7.00330474196661 + 0.236170895651387*i
x28 = -87.2444748657272 + 0.236170895651387*i
x29 = -30.6958071011109 + 0.236170895651387*i
x30 = 86.5896114603418
x31 = -26.5077240688908
x32 = 107.53426965684 - 0.236170895651387*i
x33 = -21.9911485751286 + 0.256341510626936*i
x34 = 36.3241290029051
x35 = -164.737800826842
x36 = 30.0409436957255
x37 = -49.5453630226497 - 0.236170895651387*i
x38 = -99.8108454800864 - 0.236170895651387*i
x39 = -24.4126217939313 + 0.236170895651387*i
x40 = 13.2864900491462 + 0.236170895651387*i
x41 = -89.3395771406866
x42 = 48.8904996172643
x43 = -13.9413534545316
x44 = 23.7577583885459
x45 = 80.3064261531622
x46 = -55.8285483298293 + 0.236170895651387*i
x47 = 21.9911485751286 + 0.256341510626936*i
x48 = 67.740055538803
x49 = -62.1117336370088 + 0.236170895651387*i
x50 = -72.2566310325652 + 0.256341510626936*i
x51 = -65.9734457253857 + 0.256341510626936*i
x52 = 92.8727967675214
x53 = 65.9734457253857 + 0.256341510626936*i
x54 = -64.2068359119683
x55 = -11.8462511795722 + 0.236170895651387*i
x56 = -18.1294364867517 - 0.236170895651387*i
x57 = 74.0232408459826
x58 = -80.9612895585476 + 0.236170895651387*i
x58 = -80.9612895585476 + 0.236170895651387*i