value of ω e i e i e i e i e i k p (ii) The complex number z e i θ is a rotation of z by θ radians in the counter clockwise direction about the origin. Example . Solve the equation z , where z ∈ . Let z .
Then, we get z = − i = . Therefore, z = , k = , , . Taking k = , , , we get, k = , z = i sin k = , z = k = , z = = cos The values of z are , and - - Complex Numbers Example . Find all cube roots of + i .
We have to find ) i . Let z . Then, z = cos Then, r = , and ( + i lies in the first quadrant) Therefore, z = Þ z = , , Taking k = , , , we get k = , z = cos ; k = , z = cos ; k = , z = =