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

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

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Численное решение:

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Решение

Вы ввели [src]
  ___                    
\/ 3 *cos(x)   sin(x)    
------------ - ------ = 1
     2           2       
$$- \frac{\sin{\left(x \right)}}{2} + \frac{\sqrt{3} \cos{\left(x \right)}}{2} = 1$$
График
Быстрый ответ [src]
      -pi 
x_1 = ----
       6  
$$x_{1} = - \frac{\pi}{6}$$
Сумма и произведение корней [src]
сумма
-pi 
----
 6  
$$\left(- \frac{\pi}{6}\right)$$
=
-pi 
----
 6  
$$- \frac{\pi}{6}$$
произведение
-pi 
----
 6  
$$\left(- \frac{\pi}{6}\right)$$
=
-pi 
----
 6  
$$- \frac{\pi}{6}$$
Численный ответ [src]
x1 = 37.1755126583087
x2 = 68.5914401180933
x3 = -13.0899689209265
x4 = -25.65633950106
x5 = -57.0722660751833
x6 = 12.0427722166701
x7 = -88.4881942807791
x8 = -69.6386366485818
x9 = -63.3554520547243
x10 = -38.2227106630569
x11 = 87.4409950488631
x12 = 81.1578093180369
x13 = 49.7418835245054
x14 = -31.9395249202358
x15 = -69.638637223832
x16 = 18.3259570967149
x17 = -25.6563400637071
x18 = 62.308254257502
x19 = -264.417382419922
x20 = -6.80678449725847
x21 = 301.069297155331
x22 = 37.1755134637125
x23 = -94.7713780045959
x24 = -44.5058956472658
x25 = 68.5914401276649
x26 = -63.3554513363679
x27 = -88.4881935647341
x28 = 49.7418838493326
x29 = 56.0250689522333
x30 = -75.9218228126903
x31 = -75.9218229143423
x32 = -82.2050082777704
x33 = -13.0899697075722
x34 = 56.0250690081558
x35 = 74.8746253871791
x36 = -82.2050076281063
x37 = 30.8923274298613
x38 = -44.5058967203222
x39 = 93.7241810081872
x40 = -50.7890816527148
x41 = -6.80678369229017
x42 = 30.8923282331952
x43 = 12.0427717615073
x44 = 93.7241806097162
x45 = -13.0899698146708
x46 = -50.7890808483935
x47 = 43.4586986677198
x48 = -31.9395254617805
x49 = 24.6091430772094
x50 = -19.373154896527
x51 = 56.0250693524419
x52 = -88.4881928048828
x53 = 49.7418831724391
x54 = 81.1578106196128
x55 = -69.6386373548543
x56 = 56.0250685169442
x57 = -0.523598489731523
x58 = 62.3082547928689
x59 = 5.75958643339931
x60 = 5.75958726070503
x61 = 5.75958602210796
x62 = -57.0722668645673
x63 = 18.3259576460966
x64 = 43.4586978952293
x65 = -19.3731541846809
x66 = 18.3259568926578
x67 = 100.007365661841
x68 = 24.6091422617441
x69 = 12.0427713725902
x70 = 100.007366129962
x71 = -31.939525771185
x72 = -38.2227104687978
x73 = -38.2227111279653
x74 = -94.7713788080582
x75 = 74.8746246066628
x76 = 81.1578098139843
x77 = 87.4409958250878
x78 = 93.7241803230185
x79 = 68.5914394200902
x80 = -0.523599258250701
x81 = 156.556034516879
x82 = -44.5058964115732
x83 = -19.3731539653969
x84 = -82.2050077643523
x85 = 62.3082540196632
x86 = -101.054563229573
x87 = 5.75958669034246
x88 = -63.3554510011992
x89 = -25.6563402322524
x90 = -75.9218220581853
x91 = -57.0722665843695
x92 = 24.6091429668081
x93 = 30.8923274495049
x93 = 30.8923274495049
График
sqrt(3)/2*cos(x)-1/2*sin(x)=1 уравнение