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lg(sinx/2)=lg(cosx-sinx)+lg(cosx+sinx) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /sin(x)\                                              
log|------| = log(cos(x) - sin(x)) + log(cos(x) + sin(x))
   \  2   /                                              
$$\log{\left(\frac{\sin{\left(x \right)}}{2} \right)} = \log{\left(- \sin{\left(x \right)} + \cos{\left(x \right)} \right)} + \log{\left(\sin{\left(x \right)} + \cos{\left(x \right)} \right)}$$
Gráfica
Respuesta numérica [src]
x1 = 76.0330905572886
x2 = -63.8348200256621
x3 = -46.1209228499806
x4 = -99.8960980437398
x5 = -2.13862569972354
x6 = 84.1881347757908
x7 = 30.4129595820317
x8 = -19.852522875405
x9 = 24.1297742748521
x10 = -93.6129127365602
x11 = 32.0507934070315
x12 = 48.1268567577131
x13 = 82.3162758644682
x14 = 38.3339787142111
x15 = -43.3474302791235
x16 = -55.9138008934827
x17 = -90.1032200002378
x18 = 4.14455960745605
x19 = -57.5516347184825
x20 = -13.5693375682254
x21 = 88.5994611716478
x22 = 44.6171640213907
x23 = 74.3952567322888
x24 = -11.9315037432256
x25 = -26.1357081825846
x26 = 42.9793301963909
x27 = -39.8377375428011
x28 = -49.6306155863031
x29 = 61.8288861179296
x30 = 8.78991108963581
x31 = -5.64831843604602
x32 = -70.1180053328417
x33 = 17.8465889676725
x34 = 92.1091539079703
x35 = -83.8200346930582
x36 = 96.75450539015
x37 = 68.1120714251092
x38 = -87.3297274293806
x39 = -18.2146890504052
x39 = -18.2146890504052