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7sinx+18cosx=√373 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                         _____
7*sin(x) + 18*cos(x) = \/ 373 
$$7 \sin{\left(x \right)} + 18 \cos{\left(x \right)} = \sqrt{373}$$
Gráfica
Suma y producto de raíces [src]
suma
       /       _____\
       |18   \/ 373 |
-2*atan|-- - -------|
       \7       7   /
$$- 2 \operatorname{atan}{\left(\frac{18}{7} - \frac{\sqrt{373}}{7} \right)}$$
=
       /       _____\
       |18   \/ 373 |
-2*atan|-- - -------|
       \7       7   /
$$- 2 \operatorname{atan}{\left(\frac{18}{7} - \frac{\sqrt{373}}{7} \right)}$$
producto
       /       _____\
       |18   \/ 373 |
-2*atan|-- - -------|
       \7       7   /
$$- 2 \operatorname{atan}{\left(\frac{18}{7} - \frac{\sqrt{373}}{7} \right)}$$
=
       /       _____\
       |18   \/ 373 |
-2*atan|-- - -------|
       \7       7   /
$$- 2 \operatorname{atan}{\left(\frac{18}{7} - \frac{\sqrt{373}}{7} \right)}$$
-2*atan(18/7 - sqrt(373)/7)
Respuesta rápida [src]
            /       _____\
            |18   \/ 373 |
x1 = -2*atan|-- - -------|
            \7       7   /
$$x_{1} = - 2 \operatorname{atan}{\left(\frac{18}{7} - \frac{\sqrt{373}}{7} \right)}$$
x1 = -2*atan(18/7 - sqrt(373)/7)
Respuesta numérica [src]
x1 = -43.6114059454141
x2 = 31.786817969739
x3 = -100.160073515848
x4 = -56.1777763492842
x5 = -56.1777764042849
x6 = 75.7691151289673
x7 = 0.370891214347881
x8 = 25.5036327921695
x9 = 88.3354855345896
x10 = 44.3531882257178
x11 = -12.1954792964494
x12 = 44.3531883743346
x13 = -43.6114060141189
x14 = 50.6363735425765
x15 = 38.0700029054712
x16 = -62.4609615232369
x17 = 56.9195591800265
x18 = -31.0450355816394
x19 = -81.3105179316803
x20 = 12.9372615752268
x21 = -37.3282207736669
x22 = 0.37089110445558
x23 = -100.16007350914
x24 = 69.4859299497483
x25 = 6.65407638441857
x26 = 82.0523001721646
x27 = 88.3354853494136
x28 = -87.5937031297209
x29 = 31.7868178072532
x30 = -18.4786643654922
x31 = 56.9195587321772
x32 = 94.6186707008078
x33 = 69.485929548379
x34 = -12.1954791896693
x35 = -93.8768879948304
x36 = -87.5937031049845
x37 = 75.7691149063751
x38 = -75.0273327384199
x39 = 100.90185588921
x40 = -24.7618500239043
x40 = -24.7618500239043