defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Complex Numbers Properties of Complex Numbers
Let r and θ respectively be the modulus and amplitude of the complex number z = 2 - i\(\left(2 \tan \frac{5 \pi}{8}\right)\), then (r, θ) is equal to
1
\(\left(2 \sec \frac{3 \pi}{8}, \frac{3 \pi}{8}\right)\)
2
\(\left(2 \sec \frac{3 \pi}{8}, \frac{5 \pi}{8}\right)\)
3
\(\left(2 \sec \frac{5 \pi}{8}, \frac{3 \pi}{8}\right)\)
4
\(\left(2 \sec \frac{11 \pi}{8}, \frac{11 \pi}{8}\right)\)