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2sin(x/2)=1-cosx equation

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Numerical solution:

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The solution

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     /x\             
2*sin|-| = 1 - cos(x)
     \2/             
$$2 \sin{\left(\frac{x}{2} \right)} = 1 - \cos{\left(x \right)}$$
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Numerical answer [src]
x1 = -47.1238900937281
x2 = -18.8495559215388
x3 = -21.9911479219079
x4 = -37.6991118430775
x5 = 53.4070758368143
x6 = -97.3893720146353
x7 = -21.9911485864442
x8 = -113.097335529233
x9 = 3.14159301725172
x10 = -56.5486677646163
x11 = 12.5663706143592
x12 = -72.2566308678941
x13 = 28.274333617034
x14 = -31.4159265358979
x15 = -81.6814089933346
x16 = 94.2477796076938
x17 = 0.0
x18 = -87.9645943005142
x19 = 53.4070747466413
x20 = 81.6814089933346
x21 = -75.398223686155
x22 = 62.8318530717959
x23 = 100.530964914873
x24 = -9.42477775834995
x25 = 75.398223686155
x26 = -84.8230020090307
x27 = -34.5575195471491
x28 = 15.707963119436
x29 = 6.28318530717959
x30 = -47.1238894300399
x31 = -6.28318530717959
x32 = 527.787565803085
x33 = -97.3893724500928
x34 = 31.4159265358979
x35 = 65.9734459599234
x36 = 53.4070754088963
x37 = 25.1327412287183
x38 = -72.2566311053586
x39 = 65.9734457529603
x40 = 18.8495559215388
x41 = -94.2477796076938
x42 = 78.5398164841481
x43 = 56.5486677646163
x44 = -25.1327412287183
x45 = 87.9645943005142
x46 = -50.2654824574367
x47 = 78.539817080259
x48 = -100.530964914873
x49 = -43.9822971502571
x50 = 40.8407042380736
x51 = 50.2654824574367
x52 = 78.5398161823296
x53 = 69.1150383789755
x54 = -59.6902604577611
x55 = -62.8318530717959
x56 = 40.8407042185948
x57 = 15.7079634490009
x58 = 91.1061866036481
x59 = 91.1061873230527
x60 = -12.5663706143592
x61 = -69.1150383789755
x62 = 65.9734437809933
x63 = 37.6991118430775
x64 = -9.42477813410495
x65 = 40.8407048650635
x66 = -59.690261256567
x67 = 3.14159229681551
x68 = -34.5575189032924
x69 = 28.274333865185
x70 = -59.6902601698037
x71 = 282.743338823081
x72 = -84.8230012894877
x73 = 43.9822971502571
x73 = 43.9822971502571