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Trig Triangle Formula Tables

These tables are the formulae needed for side and angle functions of a right triangle. In case you need it, here is the Triangle Angle Calculator, and the Right Triangle Angle And Side Calculator.

sin(theta) = a / c
csc(theta) = 1 / sin(theta) = c / a
cos(theta) = b / c
sec(theta) = 1 / cos(theta) = c / b
tan(theta) = sin(theta) / cos(theta) = a / b
cot(theta) = 1/ tan(theta) = b / a
sin(-x) = -sin(x)
csc(-x) = csc(x)
cos(-x) = cos(x)
sec(-x) = sec(x)
tan(-x) = -tan(x)
cot(-x) = -cot(x)
sin^2(x) + cos^2(x) = 1
tan^2(x) + 1 = sec^2(x)
cot^2(x) + 1 = csc^2(x)
sin(xy) = sin x cos ycos x sin y
cos(xy) = cos x cos ysin x sin y
tan(xy) = (tan xtan y) / (1 tan x tan y)
sin(2x) = 2 sin x cos x
cos(2x) = cos^2(x) - sin^2(x) = 2 cos^2(x) - 1 = 1 - 2 sin^2(x)
tan(2x) = 2 tan(x) / (1 - tan^2(x))
sin^2(x) = 1/2 - 1/2 cos(2x)
cos^2(x) = 1/2 + 1/2 cos(2x)
sin x - sin y = 2 sin( (x - y)/2 ) cos( (x + y)/2 )
cos x - cos y = -2 sin( (x - y)/2 ) sin( (x + y)/2 )
Trig Table Of Common Angles
Angle 0 30 45 60 90
sin^2(a) 0/4 1/4 2/4 3/4 4/4
cos^2(a) 4/4 3/4 2/4 1/4 0/4
tan^2(a) 0/4 1/3 2/2 3/1 4/0
Sides a,b,c - Angles A,B,C
a Opposite A, b Opposite B, c Opposite C
Law Of Sines
a/sin(A) = b/sin(B) = c/sin(C)
Law Of Cosines
c^2 = a^2 + b^2 - 2ab cos(C)
b^2 = a^2 + c^2 - 2ac cos(B)
a^2 = b^2 + c^2 - 2bc cos(A)
Law Of Tangents
(a - b)/(a + b) = tan [(A-B)/2] / tan [(A+B)/2]
Version 1.0.1


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