Let r and θ respectively be the modulus and amplitude of the comp… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 2Modulus & Argument

Let $r$ and $\theta$ respectively be the modulus and amplitude of the complex number $z = 2 - i\left(2 \tan \frac{5\pi}{8}\right)$ . Then, $(r, \theta)$ is equal to:

A
$(2 \sec(3\pi/8), 3\pi/8)$
B
$(2 \sec(3\pi/8), 5\pi/8)$
C
$(2 \sec(5\pi/8), 3\pi/8)$
D
$(2 \sec(11\pi/8), 11\pi/8)$

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