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In the documentation for solve there is an option which often helps solve these kinds of equations.

F = 2*(1-sin(x)) == 1-cos(x)
solve(F,x,to_poly_solve=True)

You should get

[x == pi + 2*pi*z38, x == 2*pi*z40 + arctan(4/3)]

where the z38 means an integer parameter.

In the documentation for solve there is an option which often helps solve these kinds of equations.

F = 2*(1-sin(x)) == 1-cos(x)
solve(F,x,to_poly_solve=True)

You should getget something like

[x == pi + 2*pi*z38, x == 2*pi*z40 + arctan(4/3)]

where the z38 means an integer parameter.