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(sin(a)/2-cos(a)/2)=1-sin(a) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(a)   cos(a)             
------ - ------ = 1 - sin(a)
  2        2                
$$\frac{\sin{\left(a \right)}}{2} - \frac{\cos{\left(a \right)}}{2} = 1 - \sin{\left(a \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
      /      ___\         /      ___\
2*atan\3 - \/ 6 / + 2*atan\3 + \/ 6 /
$$2 \operatorname{atan}{\left(3 - \sqrt{6} \right)} + 2 \operatorname{atan}{\left(\sqrt{6} + 3 \right)}$$
=
      /      ___\         /      ___\
2*atan\3 + \/ 6 / + 2*atan\3 - \/ 6 /
$$2 \operatorname{atan}{\left(3 - \sqrt{6} \right)} + 2 \operatorname{atan}{\left(\sqrt{6} + 3 \right)}$$
producto
      /      ___\       /      ___\
2*atan\3 - \/ 6 /*2*atan\3 + \/ 6 /
$$2 \operatorname{atan}{\left(3 - \sqrt{6} \right)} 2 \operatorname{atan}{\left(\sqrt{6} + 3 \right)}$$
=
      /      ___\     /      ___\
4*atan\3 + \/ 6 /*atan\3 - \/ 6 /
$$4 \operatorname{atan}{\left(3 - \sqrt{6} \right)} \operatorname{atan}{\left(\sqrt{6} + 3 \right)}$$
4*atan(3 + sqrt(6))*atan(3 - sqrt(6))
Respuesta rápida [src]
           /      ___\
a1 = 2*atan\3 - \/ 6 /
$$a_{1} = 2 \operatorname{atan}{\left(3 - \sqrt{6} \right)}$$
           /      ___\
a2 = 2*atan\3 + \/ 6 /
$$a_{2} = 2 \operatorname{atan}{\left(\sqrt{6} + 3 \right)}$$
a2 = 2*atan(sqrt(6) + 3)
Respuesta numérica [src]
a1 = -55.5421980072174
a2 = -74.3917539287561
a3 = -24.1262714713194
a4 = -80.6749392359357
a5 = 34.1945505408821
a6 = -78.9027849883505
a7 = 97.026403612678
a8 = 84.4600329983188
a9 = 71.8936623839596
a10 = -86.9581245431153
a11 = 53.0441064624208
a12 = -34.9204878380934
a13 = -5.27671554978066
a14 = 59.3272917696004
a15 = -41.203673145273
a16 = 63.8383228291948
a17 = -36.6926420856786
a18 = 44.988766907656
a19 = 78.1768476911392
a20 = 82.6878787507335
a21 = 32.4223962932969
a22 = -3172.00211036829
a23 = -53.7700437596321
a24 = -22.3541172237342
a25 = 88.9710640579131
a26 = 13.5728403717581
a27 = -99.5244951574745
a28 = -93.2413098502949
a29 = -338.285536830299
a30 = 7.28965506457851
a31 = 2029501.2766153
a32 = -30.409456778499
a33 = 38.7055816004764
a34 = -66.3364143739913
a35 = -60.0532290668117
a36 = 19.8560256789377
a37 = 26.1392109861173
a38 = 21.6281799265229
a39 = -42.9758273928582
a40 = -11.5599008569602
a41 = -85.1859702955301
a42 = -28.6373025309138
a43 = -72.6195996811709
a44 = 90.7432183054984
a45 = 76.404693443554
a46 = -61.8253833143969
a47 = 51.2719522148356
a48 = 1460.47761527065
a49 = 1.00646975739893
a50 = -17.8430861641398
a51 = 2.77862400498415
a52 = -68.1085686215765
a53 = 46.7609211552413
a54 = 101.537434672272
a55 = 40.4777358480617
a56 = -9.78774660937502
a57 = -47.4868584524525
a58 = 27.9113652337025
a59 = 9.06180931216374
a60 = 95.2542493650927
a61 = 15.3449946193433
a62 = -49.2590127000378
a63 = -3.50456130219543
a64 = 57.5551375220152
a65 = -91.4691556027096
a66 = -187.489089457989
a67 = -16.0709319165546
a68 = 1824.90236308706
a69 = -97.7523409098892
a70 = 65.61047707678
a71 = -192.000120517583
a72 = 70.1215081363744
a72 = 70.1215081363744