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sinx:tg(x)/(2)-1=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
/sin(x)\        
|------|        
\tan(x)/        
-------- - 1 = 0
   2
sin⁡(x)1tan⁡(x)2−1=0\frac{\sin{\left(x \right)} \frac{1}{\tan{\left(x \right)}}}{2} - 1 = 0
Simplificar
Gráfica
0-80-60-40-2020406080-1001002-2
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
         /       / 4      2       \\          /       / 4      2       \\                 /        / 4      2       \\                 /        / 4      2       \\
- 2*I*log\CRootOf\x  - 4*x  + 1, 2// - 2*I*log\CRootOf\x  - 4*x  + 1, 3// + 2*pi - 2*I*log\-CRootOf\x  - 4*x  + 1, 0// + 2*pi - 2*I*log\-CRootOf\x  - 4*x  + 1, 1//
((2π−2ilog⁡(−CRootOf⁡(x4−4x2+1,0)))+(−2ilog⁡(CRootOf⁡(x4−4x2+1,3))−2ilog⁡(CRootOf⁡(x4−4x2+1,2))))+(2π−2ilog⁡(−CRootOf⁡(x4−4x2+1,1)))\left(\left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)}\right) + \left(- 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)} - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)}\right)\right) + \left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)}\right) 
=
              /        / 4      2       \\          /        / 4      2       \\          /       / 4      2       \\          /       / 4      2       \\
4*pi - 2*I*log\-CRootOf\x  - 4*x  + 1, 0// - 2*I*log\-CRootOf\x  - 4*x  + 1, 1// - 2*I*log\CRootOf\x  - 4*x  + 1, 2// - 2*I*log\CRootOf\x  - 4*x  + 1, 3//
4π−2ilog⁡(−CRootOf⁡(x4−4x2+1,0))−2ilog⁡(CRootOf⁡(x4−4x2+1,3))−2ilog⁡(−CRootOf⁡(x4−4x2+1,1))−2ilog⁡(CRootOf⁡(x4−4x2+1,2))4 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)} - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)} - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)} - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)} 
producto
        /       / 4      2       \\         /       / 4      2       \\ /              /        / 4      2       \\\ /              /        / 4      2       \\\
-2*I*log\CRootOf\x  - 4*x  + 1, 2//*-2*I*log\CRootOf\x  - 4*x  + 1, 3//*\2*pi - 2*I*log\-CRootOf\x  - 4*x  + 1, 0///*\2*pi - 2*I*log\-CRootOf\x  - 4*x  + 1, 1///
−2ilog⁡(CRootOf⁡(x4−4x2+1,2))(−2ilog⁡(CRootOf⁡(x4−4x2+1,3)))(2π−2ilog⁡(−CRootOf⁡(x4−4x2+1,0)))(2π−2ilog⁡(−CRootOf⁡(x4−4x2+1,1)))- 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)} \left(- 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)}\right) \left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)}\right) \left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)}\right) 
=
    /          /        / 4      2       \\\ /          /        / 4      2       \\\    /       / 4      2       \\    /       / 4      2       \\
-16*\pi - I*log\-CRootOf\x  - 4*x  + 1, 0///*\pi - I*log\-CRootOf\x  - 4*x  + 1, 1///*log\CRootOf\x  - 4*x  + 1, 2//*log\CRootOf\x  - 4*x  + 1, 3//
−16(π−ilog⁡(−CRootOf⁡(x4−4x2+1,0)))(π−ilog⁡(−CRootOf⁡(x4−4x2+1,1)))log⁡(CRootOf⁡(x4−4x2+1,2))log⁡(CRootOf⁡(x4−4x2+1,3))- 16 \left(\pi - i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)}\right) \left(\pi - i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)}\right) \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)} \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)} 
-16*(pi - i*log(-CRootOf(x^4 - 4*x^2 + 1, 0)))*(pi - i*log(-CRootOf(x^4 - 4*x^2 + 1, 1)))*log(CRootOf(x^4 - 4*x^2 + 1, 2))*log(CRootOf(x^4 - 4*x^2 + 1, 3))
Respuesta rápida [src] 
             /       / 4      2       \\
x1 = -2*I*log\CRootOf\x  - 4*x  + 1, 2//
x1=−2ilog⁡(CRootOf⁡(x4−4x2+1,2))x_{1} = - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)} 
             /       / 4      2       \\
x2 = -2*I*log\CRootOf\x  - 4*x  + 1, 3//
x2=−2ilog⁡(CRootOf⁡(x4−4x2+1,3))x_{2} = - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)} 
                   /        / 4      2       \\
x3 = 2*pi - 2*I*log\-CRootOf\x  - 4*x  + 1, 0//
x3=2π−2ilog⁡(−CRootOf⁡(x4−4x2+1,0))x_{3} = 2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)} 
                   /        / 4      2       \\
x4 = 2*pi - 2*I*log\-CRootOf\x  - 4*x  + 1, 1//
x4=2π−2ilog⁡(−CRootOf⁡(x4−4x2+1,1))x_{4} = 2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)} 
Eq(x4, 2*pi - 2*i*log(-CRootOf(x^4 - 4*x^2 + 1, 1)))
Respuesta numérica [src] 
x1 = 1.31695789692482*i
x2 = -1.31695789692482*i
x3 = 6.28318530717959 - 1.31695789692482*i
x4 = 6.28318530717959 + 1.31695789692482*i
x4 = 6.28318530717959 + 1.31695789692482*i
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