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2sin(2x)-cos(x)-3^0.5sin(x)=0 equation

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Numerical solution:

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The solution

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2*sin(2*x) - cos(x) - \/ 3 *sin(x) = 0
$$\left(2 \sin{\left(2 x \right)} - \cos{\left(x \right)}\right) - \sqrt{3} \sin{\left(x \right)} = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = 34.3829862642883
x2 = 40.6661715714679
x3 = -100.007366139275
x4 = 65.7989128001862
x5 = -97.563905186483
x6 = -87.4409955249159
x7 = 30.1941960595019
x8 = -49.7418836818384
x9 = -3.31612557878923
x10 = 19.7222205475359
x11 = -26.3544717051144
x12 = 7.15584993317675
x13 = -15.8824961931484
x14 = 76.2708883121522
x15 = -74.5255590601579
x16 = -81.1578102177363
x17 = 21.8166156499291
x18 = -216.944426022895
x19 = -36.8264472170804
x20 = 17.6278254451427
x21 = 67.8933079025794
x22 = -28.4488668075076
x23 = 36.4773813666815
x24 = 50.789081233035
x25 = -470.715299262871
x26 = -47.2984227290463
x27 = 6.80678408277789
x28 = 0.523598775598299
x29 = 26.0054058547155
x30 = -70.3367688553715
x31 = 28.0998009571087
x32 = 94.7713783832921
x33 = -22.165681500328
x34 = -1318.94531573211
x35 = 32.2885911618951
x36 = -51.4872129338327
x37 = 13.4390352403563
x38 = 59.5157274930066
x39 = -91.2807198793034
x40 = 38.2227106186758
x41 = 95.120444233691
x42 = -61.9591884457987
x43 = -9.59931088596881
x44 = 44.5058959258554
x45 = -45.2040276266531
x46 = -13.7881010907552
x47 = 80.4596785169386
x48 = -1.22173047639603
x49 = 86.7428638241182
x50 = 23.9110107523223
x51 = 82.2050077689329
x52 = 57.4213323906134
x53 = -64.0535835481919
x54 = -80.8087443673375
x55 = -53.5816080362259
x56 = -57.7703982410123
x57 = -5.75958653158129
x58 = 15.5334303427495
x59 = 78.3652834145454
x60 = -37.1755130674792
x61 = 74.176493209759
x62 = -66.1479786505851
x63 = -24.2600766027212
x64 = -20.0712863979348
x65 = -43.4586983746588
x66 = 42.7605666738611
x67 = 72.0820981073658
x68 = 51.1381470834339
x69 = -11.693705988362
x70 = -59.8647933434055
x71 = -93.7241808320955
x72 = -89.1863247769102
x73 = 88.4881930761125
x74 = 604.058454115238
x75 = 61.6101225953998
x76 = 63.704517697793
x77 = -68.2423737529783
x78 = -56.025068989018
x79 = -7.50491578357562
x80 = 69.9877030049726
x81 = -17.9768912955416
x82 = -95.4695100840898
x83 = -72.4311639577647
x84 = -30.5432619099008
x85 = 84.648468721725
x85 = 84.648468721725