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cosx+sinx=1/(2)^1/2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                    1  
cos(x) + sin(x) = -----
                    ___
                  \/ 2 
$$\sin{\left(x \right)} + \cos{\left(x \right)} = \frac{1}{\sqrt{2}}$$
Gráfica
Respuesta rápida [src]
            /       ___     ___     ___\
x1 = -2*atan\-2 + \/ 2  + \/ 3  - \/ 6 /
$$x_{1} = - 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$
           /      ___     ___     ___\
x2 = 2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$x_{2} = 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$
x2 = 2*atan(-sqrt(6) - sqrt(2) + sqrt(3) + 2)
Suma y producto de raíces [src]
suma
        /       ___     ___     ___\         /      ___     ___     ___\
- 2*atan\-2 + \/ 2  + \/ 3  - \/ 6 / + 2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)} - 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$
=
        /       ___     ___     ___\         /      ___     ___     ___\
- 2*atan\-2 + \/ 2  + \/ 3  - \/ 6 / + 2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)} - 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$
producto
       /       ___     ___     ___\       /      ___     ___     ___\
-2*atan\-2 + \/ 2  + \/ 3  - \/ 6 /*2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$- 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$
=
       /       ___     ___     ___\     /      ___     ___     ___\
-4*atan\-2 + \/ 2  + \/ 3  - \/ 6 /*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$- 4 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$
-4*atan(-2 + sqrt(2) + sqrt(3) - sqrt(6))*atan(2 + sqrt(3) - sqrt(2) - sqrt(6))
Respuesta numérica [src]
x1 = 26.9653369433124
x2 = 77.2308194007491
x3 = 112.835536141433
x4 = 45.8148928648512
x5 = 89.7971900151083
x6 = 43.720497762458
x7 = 93.9859802198946
x8 = 58.3812634792103
x9 = 127.496301858186
x10 = 70.9476340935695
x11 = 87.7027949127151
x12 = 52.0980781720307
x13 = 50.0036830696375
x14 = 18.5877565337396
x15 = 100.269165527074
x16 = 8.11578102177363
x17 = 114.929931243827
x18 = 163.10101859887
x19 = 102.363560629467
x20 = 37.4373124552784
x21 = 146.345857779725
x22 = 133.779487165365
x23 = 165.195413701263
x24 = 24.8709418409192
x25 = -339.553805975497
x26 = -4.45058959258554
x27 = 75.1364242983559
x28 = 175.667389213229
x29 = 140.062672472545
x30 = 169.38420390605
x31 = 96.0803753222878
x32 = -326.987435361138
x33 = 33.248522250492
x34 = 177.761784315622
x35 = 106.552350834254
x36 = -42091.3201721838
x37 = -23.3001455141243
x38 = 14.3989663289532
x39 = 108.646745936647
x40 = 64.6644487863899
x41 = 150.534647984511
x42 = 152.629043086904
x43 = 39.5317075576716
x44 = 6.02138591938044
x45 = 131.685092062972
x46 = 156.817833291691
x47 = 68.8532389911763
x48 = 1.83259571459405
x49 = 8010.79946726617
x50 = -0.261799387799149
x51 = 171.478599008443
x52 = 121.213116551006
x53 = 56.2868683768171
x54 = 12.30457122656
x55 = 125.401906755793
x56 = 144.251462677331
x57 = 20.6821516361328
x58 = 680.416608889989
x59 = 62.5700536839967
x60 = 1212.39296489786
x61 = 137.968277370152
x62 = 83.5140047079287
x63 = 81.4196096055355
x64 = 31.1541271480988
x65 = 119.118721448613
x66 = 158.912228394084
x66 = 158.912228394084