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log(2)(((sina-cosa)^2-1+(1/2)sin2a)^2+(1/4)cos^2(2a))=0 equation

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Numerical solution:

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The solution

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       /                                   2      2     \    
       |/                 2       sin(2*a)\    cos (2*a)|    
log(2)*||(sin(a) - cos(a))  - 1 + --------|  + ---------| = 0
       \\                            2    /        4    /    
$$\left(\left(\left(\left(\sin{\left(a \right)} - \cos{\left(a \right)}\right)^{2} - 1\right) + \frac{\sin{\left(2 a \right)}}{2}\right)^{2} + \frac{\cos^{2}{\left(2 a \right)}}{4}\right) \log{\left(2 \right)} = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1