JEE Main 202429 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let r\mathrm{r}r and θ\thetaθ respectively be the modulus and amplitude of the complex number z=2−i(2tan5π8)z=2-i\left(2 \tan \frac{5 \pi}{8}\right)z=2−i(2tan85π), then (r,θ)(\mathrm{r}, \theta)(r,θ) is equal toAOption A. (2sec11π8,11π8)\left(2 \sec \frac{11 \pi}{8}, \frac{11 \pi}{8}\right)(2sec811π,811π)BOption B. (2sec3π8,3π8)\left(2 \sec \frac{3 \pi}{8}, \frac{3 \pi}{8}\right)(2sec83π,83π)COption C. (2sec5π8,3π8)\left(2 \sec \frac{5 \pi}{8}, \frac{3 \pi}{8}\right)(2sec85π,83π)DOption D. (2sec3π8,5π8)\left(2 \sec \frac{3 \pi}{8}, \frac{5 \pi}{8}\right)(2sec83π,85π)CheckSkip · show solution
