In the complex plane, the complex numbers corresponding to the vertices O and B of the rectangular oabc are 0 and √ 2 (1 + I) respectively And │ OA │ = √ 3, │ OC │ = 1, then the complex numbers corresponding to a and C are______

In the complex plane, the complex numbers corresponding to the vertices O and B of the rectangular oabc are 0 and √ 2 (1 + I) respectively And │ OA │ = √ 3, │ OC │ = 1, then the complex numbers corresponding to a and C are______

In the coordinate system, the angle between OB and X axis is π / 4, and │ OC │ = 1, │ OA │ = √ 3, │ ob │ = 2, so cob is a right triangle, ∠ cob = π / 6, so the angle between OC and X axis is π / 4 + π / 6 = 5 π / 12 or π / 4 + π / 3 = 7 π / 12, and the angle between OA and OC is π / 4 - π / 3 = - π / 12 or π / 4 - π / 6 = π / 12,
When OC is 5 π / 12 and OA is - π / 12, the complex number of a is √ 3 (cos5 π / 12 + isin5 π / 12), and the complex number of C is cos π / 12 isin π / 12;
When OC is 7 π / 12 and OA is π / 12 √ 3 (COS7 π / 12 + isin7 π / 12), OC is cos π / 12 + isin π / 12