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tan(a-3/4*pi)*(1-sin(2*d))=cos(2*d) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /    3*pi\                          
tan|a - ----|*(1 - sin(2*d)) = cos(2*d)
   \     4  /                          
$$\left(1 - \sin{\left(2 d \right)}\right) \tan{\left(a - \frac{3 \pi}{4} \right)} = \cos{\left(2 d \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
pi                                        
-- + I*im(atan(tan(a))) + re(atan(tan(a)))
4                                         
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)}\right) + \frac{\pi}{4}$$
=
pi                                        
-- + I*im(atan(tan(a))) + re(atan(tan(a)))
4                                         
$$\operatorname{re}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)} + \frac{\pi}{4}$$
producto
pi                                        
--*(I*im(atan(tan(a))) + re(atan(tan(a))))
4                                         
$$\frac{\pi}{4} \left(\operatorname{re}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)}\right)$$
=
pi*(I*im(atan(tan(a))) + re(atan(tan(a))))
------------------------------------------
                    4                     
$$\frac{\pi \left(\operatorname{re}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)}\right)}{4}$$
pi*(i*im(atan(tan(a))) + re(atan(tan(a))))/4
Respuesta rápida [src]
     pi
d1 = --
     4 
$$d_{1} = \frac{\pi}{4}$$
d2 = I*im(atan(tan(a))) + re(atan(tan(a)))
$$d_{2} = \operatorname{re}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)}\right)}$$
d2 = re(atan(tan(a))) + i*im(atan(tan(a)))