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sinx+(cosx)^0.5=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
           ________    
sin(x) + \/ cos(x)  = 0
$$\sin{\left(x \right)} + \sqrt{\cos{\left(x \right)}} = 0$$
Gráfica
Respuesta rápida [src]
            /   ____________\
            |  /        ___ |
x1 = -2*atan\\/  -2 + \/ 5  /
$$x_{1} = - 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
x1 = -2*atan(sqrt(-2 + sqrt(5)))
Suma y producto de raíces [src]
suma
       /   ____________\
       |  /        ___ |
-2*atan\\/  -2 + \/ 5  /
$$- 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
=
       /   ____________\
       |  /        ___ |
-2*atan\\/  -2 + \/ 5  /
$$- 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
producto
       /   ____________\
       |  /        ___ |
-2*atan\\/  -2 + \/ 5  /
$$- 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
=
       /   ____________\
       |  /        ___ |
-2*atan\\/  -2 + \/ 5  /
$$- 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
-2*atan(sqrt(-2 + sqrt(5)))
Respuesta numérica [src]
x1 = 43.0777402559547
x2 = -101.435521809176
x3 = 55.6441108703139
x4 = 36.7945549487751
x5 = 17.9449990272364
x6 = 74.4936667918527
x7 = -63.7364099660982
x8 = -13.4709275086616
x9 = -19.7541128158411
x10 = 49.3609255631343
x11 = 30.5113696415956
x12 = 65.9734457253857 + 1.06127506190504*i
x13 = 93.3432227133914
x14 = -32.3204834302003
x15 = -51.1700393517391
x16 = 80.7768520990322
x17 = 99.626408020571
x18 = -95.1523365019962
x19 = 24.228184334416
x20 = 87.0600374062118
x21 = -82.585965887637
x22 = -0.904556894302381
x23 = -38.6036687373799
x24 = -76.3027805804574
x25 = -57.4532246589187
x26 = 11.6618137200568
x27 = -70.0195952732778
x28 = 68.2104814846731
x29 = -88.8691511948166
x30 = -44.8868540445595
x31 = 61.9272961774935
x32 = -26.0372981230207
x33 = -7.18774220148197
x34 = 5.37862841287721
x35 = 21.9911485751286 + 1.06127506190502*i
x35 = 21.9911485751286 + 1.06127506190502*i