Description: Mathematical branch dealing with operations, properties, and applications of complex numbers, involving real and imaginary components.

Description: Ex. 10.1 Solution

Description: Ex. 10.1 Part-II Solution

Description: The square root of a complex number is a number that, when squared, equals the original number. The Fundamental Theorem of Algebra states that every polynomial equation has at least one root.

Description: Ex.10.2 Part -II Solution

Description: Ex.10.2 Part -III Solution

Description: Ex.10.2 Part -IV Solution

Description: Trigonometric ratios' signs change by quadrant: All positive (Q1), sine positive (Q2), tangent positive (Q3), cosine positive (Q4).

Description: Ex.10.3 Solution

Description: Ex 10.3 Part -II Solution

Description: Ex 10.3 Part -III Solution

Description: The cube roots of unity are 1, omega, and omega squared. Properties: cyclic, non-real, multiply to one, sum to zero, and evenly spaced on unit circle & Ex.10.4 Solutions

Description: Ex.10.4 Part-II Solution

Description: De Moivre's Theorem relates complex numbers and trigonometry, expressing powers of complex numbers using angles, facilitating computation of roots and powers Ex. 10.4 Part-III Solutions.

Description: Ex.10.4 Part-IV Solution

Description: Ex 10.3 Part -III Solution