Question

Let
z=−3+i7√
z=−3+i7
, then
tanθ=

Answer 1

Answer on Question #58298 – Math – Complex Analysis

Question

Let

$$z = -3 + i7\sqrt{}$$ $$z = -3 + i7,$$

then

$$\tan\theta=$$

Solution

$$z = x + iy = -3 + \sqrt{7}i \rightarrow \tan\theta = \frac{y}{x} = \frac{\sqrt{7}}{-3} = -\frac{\sqrt{7}}{3};$$ $$z = x + iy = -3 + 7i \rightarrow \tan\theta = \frac{y}{x} = \frac{7}{-3} = -\frac{7}{3}.$$

Answer: $-\frac{\sqrt{7}}{3}; -\frac{7}{3}$

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