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sqrt(3)/2*cos(x)-1/2*sin(x)=1

sqrt(3)/2*cos(x)-1/2*sin(x)=1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
  ___                    
\/ 3           sin(x)    
-----*cos(x) - ------ = 1
  2              2       
$$- \frac{\sin{\left(x \right)}}{2} + \frac{\sqrt{3}}{2} \cos{\left(x \right)} = 1$$
Gráfica
Suma y producto de raíces [src]
suma
-pi 
----
 6  
$$- \frac{\pi}{6}$$
=
-pi 
----
 6  
$$- \frac{\pi}{6}$$
producto
-pi 
----
 6  
$$- \frac{\pi}{6}$$
=
-pi 
----
 6  
$$- \frac{\pi}{6}$$
-pi/6
Respuesta rápida [src]
     -pi 
x1 = ----
      6  
$$x_{1} = - \frac{\pi}{6}$$
x1 = -pi/6
Respuesta numérica [src]
x1 = 62.308254257502
x2 = 74.8746246066628
x3 = -69.6386373548543
x4 = -0.523599258250701
x5 = 49.7418838493326
x6 = -31.9395254617805
x7 = 49.7418831724391
x8 = 37.1755126583087
x9 = 5.75958726070503
x10 = -38.2227106630569
x11 = 37.1755134637125
x12 = -75.9218229143423
x13 = -82.2050077643523
x14 = -6.80678369229017
x15 = 68.5914394200902
x16 = -19.3731541846809
x17 = 24.6091429668081
x18 = -31.939525771185
x19 = -75.9218220581853
x20 = 30.8923274298613
x21 = -88.4881942807791
x22 = 81.1578093180369
x23 = 24.6091422617441
x24 = 74.8746253871791
x25 = -0.523598489731523
x26 = 100.007366129962
x27 = -57.0722665843695
x28 = -82.2050076281063
x29 = -44.5058956472658
x30 = -94.7713780045959
x31 = -13.0899697075722
x32 = 56.0250693524419
x33 = -82.2050082777704
x34 = -25.6563402322524
x35 = 49.7418835245054
x36 = 43.4586978952293
x37 = 56.0250685169442
x38 = -19.3731539653969
x39 = -63.3554520547243
x40 = 5.75958643339931
x41 = 24.6091430772094
x42 = -69.6386366485818
x43 = -38.2227111279653
x44 = -13.0899698146708
x45 = -44.5058964115732
x46 = 100.007365661841
x47 = -50.7890808483935
x48 = 30.8923282331952
x49 = -88.4881935647341
x50 = -101.054563229573
x51 = -88.4881928048828
x52 = 81.1578106196128
x53 = 18.3259570967149
x54 = -50.7890816527148
x55 = -264.417382419922
x56 = 93.7241806097162
x57 = 43.4586986677198
x58 = -6.80678449725847
x59 = -69.638637223832
x60 = -57.0722668645673
x61 = 87.4409950488631
x62 = 18.3259576460966
x63 = 68.5914401180933
x64 = 5.75958669034246
x65 = -63.3554510011992
x66 = 62.3082547928689
x67 = -38.2227104687978
x68 = -25.65633950106
x69 = -63.3554513363679
x70 = -25.6563400637071
x71 = -94.7713788080582
x72 = 81.1578098139843
x73 = 156.556034516879
x74 = 87.4409958250878
x75 = 12.0427717615073
x76 = 5.75958602210796
x77 = 18.3259568926578
x78 = -19.373154896527
x79 = 56.0250690081558
x80 = -13.0899689209265
x81 = -31.9395249202358
x82 = 12.0427713725902
x83 = 62.3082540196632
x84 = 301.069297155331
x85 = -57.0722660751833
x86 = 30.8923274495049
x87 = 68.5914401276649
x88 = -44.5058967203222
x89 = 56.0250689522333
x90 = -75.9218228126903
x91 = 12.0427722166701
x92 = 93.7241810081872
x93 = 93.7241803230185
x93 = 93.7241803230185
Gráfico
sqrt(3)/2*cos(x)-1/2*sin(x)=1 la ecuación