Multiple Angle Formulae de Moivre’s theorem can be applied to prove identities such as . This allows expressions involving multiple angles to be written as a polynomial function of a single trig fu...
De Moivre's Theorem What is de Moivre’s Theorem? de Moivre’s theorem can be used to find powers of complex numbers It states that for Where z?≠ 0 r?is the modulus, |z|,?r?∈ ?+ θ ?is the argument, a...
Exponential Form You now know how to do lots of operations with complex numbers: add, subtract, multiply, divide, raise to a power and even square root. The last operation to learn is raising the n...
Inequalities & Regions in Argand Diagrams How do I sketch inequalities such asor ?on an Argand diagram? The inequality is satisfied by all complex numbers, , with a real part less than 2 On an ...
就诸多A-Level学科的难易度而言，生物算是比较简单的一门。然而，A-Level生物涉及的领域广、包含的知识点多，且需要将理论与实践很好地结合起来，这也使得A-Level生物虽然不难，但想得A*也不容易。今天小编带来Al...
Loci in Argand Diagrams How do I sketch the locus of?oron an Argand diagram? All complex numbers, , that satisfy the equation ?lie on a?vertical line with Cartesian equation Any complex number alon...
Modulus-Argument Form The complex number ?is said to be in Cartesian form. There are, however, other ways to write a complex number, such as in modulus-argument (polar) form. How do I write a compl...
Argand Diagrams - Basics What is an Argand diagram? An Argand diagram is a?geometrical?way to represent complex numbers as either a?point?or a?vector?in two-dimensional space We can represent the c...
Solving Quadratic Equations with Complex Roots What are complex roots?? Complex numbers?provide solutions for quadratic equations which have?no real roots Complex roots occur when solving a quadrat...
