Express -1+i/root 2 in polar form. Share with your friends Share 2 Manosh T M answered this Dear student Let z =-12 + i2Clearly -12, 12 lies in second quadrant.Let z = rcos θ + i sin θ⇒r cos θ = -12 and r sin θ = 12On squaring and adding, we getr2 = 1 ⇒ r = 1Now, cos θ = -12 and sin θ = 12Now, tan θ = -1Now, tan α = tan θ = 1⇒α = π4Now, α = π4 and z lies in second quadrant, thenθ = π - α = π - π4 = 3π4Thus z = 1cos3π4 + i sin3π4 is the required polar form. Regards 9 View Full Answer