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- La ecuación:
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Expresiones idénticas
- 3sin dos x+cos2x=2
- 3 seno de 2x más coseno de 2x es igual a 2
- 3 seno de dos x más coseno de 2x es igual a 2
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Expresiones semejantes
- 3sin^2(x)+cos^2(x)-2=0
- sqrt(3)*sin(2*x)+cos(2*x)=0
- 3sin2x-cos2x=2
- sqrt(3)*sin(2*x)+cos(2*x)=sqrt(3)
- 3sin(2x)+cos(2x)=2
3sin2x+cos2x=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3*sin(2*x) + cos(2*x) = 2
$$3 \sin{\left(2 x \right)} + \cos{\left(2 x \right)} = 2$$
Suma y producto de raíces
[src]
suma
/ ___\ / ___\
| \/ 6 | | \/ 6 |
atan|1 - -----| + atan|1 + -----|
\ 3 / \ 3 /
$$\operatorname{atan}{\left(1 - \frac{\sqrt{6}}{3} \right)} + \operatorname{atan}{\left(\frac{\sqrt{6}}{3} + 1 \right)}$$
=
/ ___\ / ___\
| \/ 6 | | \/ 6 |
atan|1 - -----| + atan|1 + -----|
\ 3 / \ 3 /
$$\operatorname{atan}{\left(1 - \frac{\sqrt{6}}{3} \right)} + \operatorname{atan}{\left(\frac{\sqrt{6}}{3} + 1 \right)}$$
producto
/ ___\ / ___\
| \/ 6 | | \/ 6 |
atan|1 - -----|*atan|1 + -----|
\ 3 / \ 3 /
$$\operatorname{atan}{\left(1 - \frac{\sqrt{6}}{3} \right)} \operatorname{atan}{\left(\frac{\sqrt{6}}{3} + 1 \right)}$$
=
/ ___\ / ___\
| \/ 6 | | \/ 6 |
atan|1 - -----|*atan|1 + -----|
\ 3 / \ 3 /
$$\operatorname{atan}{\left(1 - \frac{\sqrt{6}}{3} \right)} \operatorname{atan}{\left(\frac{\sqrt{6}}{3} + 1 \right)}$$
atan(1 - sqrt(6)/3)*atan(1 + sqrt(6)/3)
Respuesta rápida
[src]
/ ___\
| \/ 6 |
x1 = atan|1 - -----|
\ 3 /
$$x_{1} = \operatorname{atan}{\left(1 - \frac{\sqrt{6}}{3} \right)}$$
/ ___\
| \/ 6 |
x2 = atan|1 + -----|
\ 3 /
$$x_{2} = \operatorname{atan}{\left(\frac{\sqrt{6}}{3} + 1 \right)}$$
x2 = atan(sqrt(6)/3 + 1)
Respuesta numérica
[src]
x1 = 38.7666732911729
x2 = 51.3330439055321
x3 = 100.712449239176
x4 = 13.6339320624546
x5 = 98.456933709379
x6 = -11.4988091662637
x7 = 0.18148432430282
x8 = -75.2167393618522
x9 = -14.6404018198535
x10 = -6.10170098287677
x11 = 66.1549300496885
x12 = -55.4811063165208
x13 = 79.6073777878403
x14 = -74.3306622380596
x15 = 50.4469667817395
x16 = -53.2255907867237
x17 = -81.4999246690318
x18 = 41.9082659447627
x19 = 15.8894475922518
x20 = -61.7642916237004
x21 = -46.0563283557515
x22 = 34.7390035137905
x23 = 35.6250806375832
x24 = -65.7919614010828
x25 = -50.0839981331339
x26 = 32.4834879839934
x27 = -80.6138475452392
x28 = 59.8717447425089
x29 = 56.7301520889191
x30 = 26.2003026768138
x31 = 70.1825998270709
x32 = -37.5176275187747
x33 = 54.4746365591219
x34 = 95.3153410557892
x35 = 73.3241924806607
x36 = -96.3218108131882
x37 = 4.20915410168523
x38 = -77.4722548916494
x39 = -2.07403120549436
x40 = 19.9171173696342
x41 = -9.24329363646656
x42 = -68.04747693088
x43 = -31.2344422115951
x44 = -33.4899577413923
x45 = 94.4292639319966
x46 = 10.4923394088648
x47 = 48.1914512519423
x48 = 37.8805961673803
x49 = 7.35074675527502
x50 = -36.6315503949821
x51 = -94.066295283391
x52 = 81.8628933176374
x53 = -59.5087760939033
x54 = 57.6162292127117
x55 = -28.0928495580053
x56 = -87.7831099762114
x57 = 76.4657851342505
x58 = 78.7213006640476
x59 = 28.455818206611
x60 = -83.755440198829
x61 = 6.46466963148241
x62 = -24.9512569044155
x63 = 12.747854938662
x64 = 63.8994145198913
x65 = 29.3418953304036
x66 = -39.7731430485719
x67 = -52.3395136629311
x68 = -24.0651797806229
x69 = -30.3483650878025
x70 = -58.6226989701106
x71 = -21.8096642508257
x72 = -8.35721651267395
x73 = -72.0751467082624
x74 = 72.4381153568681
x75 = 92.1737484021994
x76 = 22.1726328994314
x77 = 88.146078624817
x78 = -90.0386255060086
x79 = 85.8905630950199
x80 = -97.2078879369808
x81 = -17.7819944734433
x82 = -15.5264789436461
x83 = 44.1637814745599
x84 = -43.8008128259543
x84 = -43.8008128259543