1.Let rrr and θ\thetaθ respectively be the modulus and amplitude of the complex number z=2−i(2tan5π8)z = 2 - i(2\tan\dfrac{5\pi}{8})z=2−i(2tan85π), then (r,θ)(r, \theta)(r,θ) is equal to:a.(2sec3π8,3π8)\left(2\sec\dfrac{3\pi}{8}, \dfrac{3\pi}{8}\right)(2sec83π,83π)b.(2sec3π8,5π8)\left(2\sec\dfrac{3\pi}{8}, \dfrac{5\pi}{8}\right)(2sec83π,85π)c.(2sec5π8,3π8)\left(2\sec\dfrac{5\pi}{8}, \dfrac{3\pi}{8}\right)(2sec85π,83π)d.(2sec11π8,11π8)\left(2\sec\dfrac{11\pi}{8}, \dfrac{11\pi}{8}\right)(2sec811π,811π)Login to continueOnly logged in users canattempt or see the solution.
