化简 (x+yi)*e^{x+yi}

解答

化简

(x + y i) \cdot e^{x + y i}

e^{x} (x + i y) (cos (y) + i sin (y))

求解步骤

(x + y i) e^{x + y i}

e^{x + y i} = e^{x} (cos (y) + i sin (y))

= e^{x} (x + i y) (cos (y) + i sin (y))

e x p an d \frac{( 1 + c ) ^{2}}{c}

e x p an d x^{\frac{1}{2}} \cdot (x^{2} - x)

e x p an d (x^{4} e^{9 x} + 3) x

e x p an d (1 - \frac{1}{x}) (1 - \frac{1}{x})

e x p an d tan (θ) (1 - cot^{2} (θ)) + cot (θ) (1 - tan^{2} (θ))