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2sin(z)6+5cos(z)=sqrt(29) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                          ____
2*sin(z)*6 + 5*cos(z) = \/ 29 
$$6 \cdot 2 \sin{\left(z \right)} + 5 \cos{\left(z \right)} = \sqrt{29}$$
Gráfica
Suma y producto de raíces [src]
suma
        /                  ______       ____\         /       ______                  ____\
        |         ____   \/ 1015    5*\/ 35 |         |     \/ 1015        ____   5*\/ 35 |
- 2*atan|15 - 3*\/ 29  - -------- + --------| - 2*atan|15 + -------- - 3*\/ 29  - --------|
        \                   2          2    /         \        2                     2    /
$$- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)} - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)}$$
=
        /       ______                  ____\         /                  ______       ____\
        |     \/ 1015        ____   5*\/ 35 |         |         ____   \/ 1015    5*\/ 35 |
- 2*atan|15 + -------- - 3*\/ 29  - --------| - 2*atan|15 - 3*\/ 29  - -------- + --------|
        \        2                     2    /         \                   2          2    /
$$- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)} - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)}$$
producto
       /                  ______       ____\        /       ______                  ____\
       |         ____   \/ 1015    5*\/ 35 |        |     \/ 1015        ____   5*\/ 35 |
-2*atan|15 - 3*\/ 29  - -------- + --------|*-2*atan|15 + -------- - 3*\/ 29  - --------|
       \                   2          2    /        \        2                     2    /
$$- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)} \left(- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)}\right)$$
=
      /       ______                  ____\     /                  ______       ____\
      |     \/ 1015        ____   5*\/ 35 |     |         ____   \/ 1015    5*\/ 35 |
4*atan|15 + -------- - 3*\/ 29  - --------|*atan|15 - 3*\/ 29  - -------- + --------|
      \        2                     2    /     \                   2          2    /
$$4 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)} \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)}$$
4*atan(15 + sqrt(1015)/2 - 3*sqrt(29) - 5*sqrt(35)/2)*atan(15 - 3*sqrt(29) - sqrt(1015)/2 + 5*sqrt(35)/2)
Respuesta rápida [src]
            /                  ______       ____\
            |         ____   \/ 1015    5*\/ 35 |
z1 = -2*atan|15 - 3*\/ 29  - -------- + --------|
            \                   2          2    /
$$z_{1} = - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)}$$
            /       ______                  ____\
            |     \/ 1015        ____   5*\/ 35 |
z2 = -2*atan|15 + -------- - 3*\/ 29  - --------|
            \        2                     2    /
$$z_{2} = - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)}$$
z2 = -2*atan(-3*sqrt(29) - 5*sqrt(35)/2 + 15 + sqrt(1015)/2)
Respuesta numérica [src]
z1 = 115.417025643047
z2 = -75.3659033857789
z3 = 100.56328521525
z4 = -60.5121629579818
z5 = 106.846470522429
z6 = 8.6028754209937
z7 = 18.8818762219149
z8 = -100.498644614497
z9 = 2100.9035827118
z10 = 81.7137292937108
z11 = -50.2331621570605
z12 = -25.1004209283422
z13 = -37.6667915427014
z14 = 6.31550560755574
z15 = 31.4482468362741
z16 = 71.4347284927896
z17 = -3.96349519336547
z18 = -87.9322740001381
z19 = 56.5809880649924
z20 = -43.949976849881
z21 = 52.5851725712508
z22 = 69.1473586793516
z23 = 58.8683578784304
z24 = -73.0785335723409
z25 = -29.0962364220838
z26 = -18.8172356211626
z27 = 96.5674697215079
z28 = -91.9280894938797
z29 = 77.7179137999692
z30 = 14.8860607281733
z31 = 40.0188019568916
z32 = 62.864173372172
z33 = 12.5986909147353
z34 = -41.662607036443
z35 = -47.9457923436226
z36 = -69.0827180785993
z37 = 31939.7506065077
z38 = 0.0323203003761537
z39 = -56.5163474642401
z40 = -22.8130511149042
z41 = 50.2978027578128
z42 = 37.7314321434537
z43 = -10.2466805005451
z44 = -35.3794217292634
z45 = 84.0010991071487
z46 = -62.7995327714197
z47 = -81.6490886929585
z48 = 90.2842844143283
z49 = -54.2289776508022
z50 = 21.1692460353529
z51 = -98.2112748010593
z52 = 33.735616649712
z53 = 44.0146174506333
z54 = -85.6449041867001
z55 = 87.9969146008904
z56 = 75.4305439865312
z57 = -31.3836062355218
z58 = -66.7953482651613
z59 = -12.534050313983
z60 = -94.2154593073176
z61 = 272.496658322536
z62 = 94.28009990807
z63 = 65.15154318561
z64 = -16.5298658077246
z65 = 2.31969011381412
z66 = -6.25086500680343
z67 = -79.3617188795205
z68 = 46.3019872640712
z69 = 25.1650615290945
z70 = 27.4524313425325
z70 = 27.4524313425325