So, if ω is a fixed number and θ is any angle we have the following periods. Period The period of a function is the number, T, such that f (θ + T ) = f (θ ). Hypotenuse opposite hypotenuse sec θ = adjacent adjacent cot θ = opposite csc θ =įacts and Properties Domain The domain is all the values of θ that can be plugged into the function. Tangent and Cotangent Identities sin θ cos θ tan θ = cot θ = cos θ sin θ Reciprocal Identities 1 1 csc θ = sin θ = sin θ csc θ 1 1 sec θ = cos θ = cos θ sec θ 1 1 cot θ = tan θ = tan θ cot θ Pythagorean Identities sin 2 θ + cos 2 θ = 1 yĪdjacent opposite hypotenuse adjacent cos θ = hypotenuse opposite tan θ = adjacent Unit circle definition For this definition θ is any angle. The formulas particular to trigonometry have: sin (sine), cos (cosine), and tan (tangent), although only sin is represented here.Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 <θ < In the formulas given here, you have: r (radius) d(diameter or distance) b (base or measure of a side) h (height) a, b, c (measures of sides) x, y (coordinates on a graph) m (slope) M (midpoint) h, k (horizontal and vertical distances from the center) θ (angle theta) and s (arc length). The main trick to using formulas is to know what the different letters represent. Trigonometry formulas gives a relationship between particular quantities and units. A formula provides you a rule or equation that you can count on to work, every single time. But trigonometry also has some special formulas usually found just in those discussions. Many of the formulas used in trigonometry are also found in algebra, calculus and analytic geometry. A formula for changing from degrees to radians or radians to degrees is:

Scribd is the worlds largest social reading and publishing site. Reciprocal Identities | Trig Identities Cheat SheetĪs you study trig, you’ll find occasions when you need to change radians to degrees, or vice versa. Trig Cheat Sheet - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Tangent and Cotangent Identities | Trig Identities Cheat Sheet Sines and cosines are two trig functions that factor heavily into any study of trigonometry they have their own formulas and rules that you’ll want to understand if you plan to study trig for very long.ĭefinition of the trig functions Right Triangle Definition Unit Circle Definition Get to know some special rules for angles and various other important functions, definitions, and translations.

Trig Cheat Sheet: Trigonometry is the study of triangles, which contain angles, of course.

Trig cheat sheet jpg