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**1)If a= cosα + i sinα and the equation az**

^{2}+ az +1 =0 has a pure imaginary root, then tanα=?**2) cosα+isinα=e**

^{iα}, quadratic formula**3) What i tried to do was,i put a constant real number and tried to solve it and used demoivres theorem, although the answer is getting weirder and weirder.**