Given the complex number A 8 li Calculate the magnitude o
Given the complex number A = - 8+ - li Calculate the magnitude of A (rounded to 3 decimal places). Calculate the phase angle of A(rounded to 2 decimal places).
Solution
The magnitude of z is guven by square root of zz^*=(-8+(-1i))(-8-(-1i)) zz^*=65 or |z|=65^1/2 =8.062 The tangent of phase angle is given by tan theta=y/x tan (theta)=-1/-8=1/8 theta =tan^-1(1/8) theta =0.125