trigonometry cheat sheet - Math Tutor Carson City NV

TRIGONOMETRY CHEAT SHEET
Basic Formulas
tan(2a) 
Pythagorean Theorem
Half Angle Formulas
c2  a 2  b2
c
Opposite
sin(a) 
Hypotenuse
cos(a) 
a
b
Adjacent
Hypotenuse
tan(a) 
sin(a)
cos(a)
csc(a) 
1
sin(a)
a
cos    
2
1  cos(a) 
2
2
sin(a  b)  sin(a)cos(b)  cos(a) sin(b)
sin(a  b)  sin(a)cos(b)  cos(a) sin(b)
cos(a  b)  cos(a)cos(b)  sin(a) sin(b)
1
tan(a)
cos(a  b)  cos(a)cos(b)  sin(a) sin(b)
tan(a)  tan(b)
1  tan(a) tan(b)
tan(a)  tan(b)
tan(a  b) 
1  tan(a) tan(b)
tan(a  b) 
cos(a)  cos(a)
tan(a )   tan( a)
Pythagoras identities
 ab
 a b 
sin( a )  sin(b)  2sin 
 cos 

 2 
 2 
sin (a)  cos (a)  1
2
1  tan 2 (a)  sec 2 (a)
 a b   a b 
sin( a )  sin(b)  2 cos 
 sin 

 2   2 
1  cot 2 (a)  csc 2 ( a)
Double angle formulas
sin(2a)  2sin(a) cos(a)
cos(2a)  cos (a)  sin (a)
2
1  cos(a) 
More Trigonometry Formulas
sin(a )   sin(a)
2
a
sin    
2
sin( a )
1  cos( a)
a
tan   

sin( a)
 2  1  cos( a)
1
sec(a) 
cos(a)
cot(a) 
2 tan(a)
1  tan 2 (a)
2
 ab
 a b 
cos(a )  cos(b)  2 cos 
 cos 

 2 
 2 
 a b   a b 
cos(a )  cos(b)  2sin 
 sin 

 2   2 
Math Tutor www.carsoncitytutor.com
UNIT CIRCLE
Math Tutor www.carsoncitytutor.com