JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

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

View answer and explanation

Correct option: D

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

Option D (

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

) is correct because it correctly identifies the modulus and argument of the complex number after simplification.

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