Complex Numbers DeMoivre's Theorem

Imaginary Unit:

Complex Numbers and the Complex Conjugate:

Complex Plane:

Trig Form:

DeMoivre's Theorem: n is an integer

Nth Roots: k = 0, 1, 2, ..., n-1

Product and Quotient Theorem:

Euler's Formula

Euler's Identity

Algebra Notes

Distributive Property

Special Products (Sum and Difference of Square and Cubes.)

Products

Binomial Theorem

Quadratic Formula

Complex Numbers

[ openAlgebra.com ] - Free online Algebra study guide.

Rectangular Coordinate System

Distance Formula

Midpoint Formula

Slope Formula:

Slope-Intercept Form of a Line:

Point-Slope Form of a Line:

Graphing:

 

Other Inverse Functions

Inverse Cosecant Function (y = arccsc x)

 
Inverse Secant Function (y = arcsec x)

 
Inverse Cotangent Function (y = arccot x)

Inverse Trigonometric Functions

Inverse Sine Function

The inverse sine function returns angles in QI or QIV.

Inverse Cosine Function

The inverse cosine function returns angles in QI or QII.

Inverse Tangent Function

The inverse tangent function returns angles in QI or QIV.

Graphing Cosecant, Secant, and Cotangent

Reciprocal relationships

One cycle of cosecant: period 2π

One cycle of secant: period 2π

One cycle of cotangent: period π