Question

simplify this complex number
cos3x + jsin3x / cosx + jsinx

Answer 1

Answer on Question #82501 – Math – Complex Analysis

Question

Simplify this complex number

$$(\cos 3x + \text{jsin}3x) / (\cos x + \text{jsin}x)$$

Solution

$$\frac{\cos 3x + \text{jsin}3x}{\cos x + \text{jsin}x} = \cos(3x - x) + \text{jsin}(3x - x) = \cos 2x + \text{jsin}2x.$$

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