( cos ⁡ θ + i sin ⁡ θ ) n = cos ⁡ n θ + i sin ⁡ n θ displaystyle (cos theta +isin theta )^ n =cos ntheta +isin ntheta Elaborate numbers which are not algebraic are identified as transcendental numbers. The algebraic numbers that are solutions of the monic polynomial equation with integer coefficients are known as algebraic integers.Actu

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