Online Trig Cheat Sheet

Right Triangle Trigonometry Definitions

Given triangle ABC,

There are six possible side ratios named: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent.

The Pythagorean theorem applies,

Special 30-60-90 triangle:

Special 45-45-90 triangle:

Special Trig Function Values:

Pythagorean triples (primitives) with c ≤ 100:

Note: (6, 8, 10) is not a primitive because it is a multiple of (3, 4, 5).

Trigonometric functions of special angles in classic table form:

Polar Coordinates

Polar Coordinates:

 

Polar Line:

Polar Circle:

Four-leaved rose:

Three-leaved Rose:

Lemniscates:

Limaçons:

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: