Trigonometry - Identities

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Trigonometric Identities

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Functions
sec(x) = 
csc(x) = 
tan(x) = 
cot(x) = 
Pythagorean
sin^2(x)+cos^2(x) = 
tan^2(x)+1 = 
1+cot^2(x) = 
Angle Sum/Difference
sin(a+b) = 
sin(a-b) = 
cos(a+b) =  
cos(a-b) = 
Double Angle
sin(2x) = 
cos(2x) = 
Reflected in x = 0
sin(-x) = 
cos(-x) = 
tan(-x) = 
csc(-x) = 
sec(-x) = 
cot(-x) = 
Reflected in x = π/2
sin((π/2)-x) = 
cos((π/2)-x) = 
tan((π/2)-x) = 
csc((π/2)-x) = 
sec((π/2)-x) = 
cot((π/2)-x) = 
Reflected in x = π
sin(π-x) = 
cos(π-x) = 
tan(π-x) = 
csc(π-x) = 
sec(π-x) = 
cot(π-x) = 
Shift by π/2
sin(x+(π/2)) 
cos(x+(π/2)) 
tan(x+(π/2)) 
csc(x+(π/2)) 
sec(x+(π/2)) 
cot(x+(π/2)) 
Shift by π
sin(x+π) 
cos(x+π) 
tan(x+π) 
csc(x+π) 
sec(x+π) 
cot(x+π) 
Shift by 2π
sin(x+2π) 
cos(x+2π) 
tan(x+2π) 
csc(x+2π) 
sec(x+2π) 
cot(x+2π) 

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