Download Complete Trigonometry Cheat Sheet and more Cheat Sheet Trigonometry in PDF only on Docsity! Trig Cheat Sheet Trig Cheat Sheet: Trigonometry is the study of triangles, which contain angles, of course. Get to know some special rules for angles and various other important functions, definitions, and translations. 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. Definition of the trig functions Right Triangle Definition Unit Circle Definition For this definition @ is any angle.
sin@ =~ = y poeBie
1 iy
cos@ =~=x a
1 x
tang =~ cot@ =~
x y
Domain
csc@ = sin 9 =———
sin@ cscO
1 1
secO = cos@ =
cos@ sec0
cot@ = i, tan@ = :
tan coté
Pythagorean Identities
sin? @+cos’0=1
tan? @+1=sec’0
1+cot? @ =csc’ 0
Even/Odd Formulas
sin(-0) =-sin0 cesc(-0) =—cscO
cos(—@) =cos@ sec(—0) =secO
tan(-0) =—tan0 cot(—0) =—coté
Periodic Formulas
If n is an integer.
sin(@+22n)=sin@ csc(@+22n)=cscO
cos(@+2zn)=cos@ sec(@+27n) =secO
tan(@+n)=tan@ cot(@+2n)=cot
Double Angle Formulas
Degree to Radians Formulas As you study trig, you’ll find occasions when you need to change radians to degrees, or vice versa. A formula for changing from degrees to radians or radians to degrees is: Half Angle Formulas Sum and Difference Formulas Product to Sum Formulas Cheat Sheet Sum to Product Formulas Cheat Sheet Law of Tangents
a-b_tan}(a—-B)
a+b tant(a+B)
b-c _ tan3(B-y
b+e tan3(Bt+y
)
)
a-c_tan}(a-y)
)
Law of Sines
sina sinB _ siny
a b c
Law of Cosines
a’ =b +c’ —2becosa
b’ =a’ +c’ —2accos B
C =a’ +b’ -2abcosy
Mollweide’s Formula
atb_ cos}(a—f)
c sinSy
Trig Cheat Sheet PDF Many of the formulas used in trigonometry are also found in algebra, calculus and analytic geometry. But trigonometry also has some special formulas usually found just in those discussions. A formula provides you a rule or equation that you can count on to work, every single time. Trigonometry formulas gives a relationship between particular quantities and units. The main trick to using formulas is to know what the different letters represent. 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 formulas particular to trigonometry have: sin (sine), cos (cosine), and tan (tangent), although only sin is represented here.
