Question

If $r = |z|,\ θ = arg(z)$ and $z = 2 – 2\ tan (\frac {5\pi}{8})$ then find $(r, θ)$.

• A. $(2sec \frac {5\pi}{8}, \frac {3\pi}{8})$
• B. $(2sec \frac {3\pi}{8}, \frac {3\pi}{8})$
• C. $(2tan \frac {3\pi}{8}, \frac {5\pi}{8})$
• D. $(2tan \frac {3\pi}{8}, \frac {3\pi}{8})$

Answer 1

Answer: (B)

$(2sec \frac {3\pi}{8}, \frac {3\pi}{8})$

Answer 2

The correct option is (B): $(2sec \frac {3\pi}{8}, \frac {3\pi}{8})$.