Trigonometry
s=o/h c=a/h t=o/a
1 radian = 180 degrees / pi
(sin x)^2 + (cos x)^2 = 1
(sec x)^2 = 1 - (tan x)^2
degrees radians sin O cos 0 tan 0
0 0 0 1 0
30 pi/6 1/2 (rad.3)/2 (rad.3)/3
45 pi/4 (rad.2)/2 (rad.2)/2 1
60 pi/3 (rad.3)/2 1/2 rad.3
90 pi/2 1 0 --
Double angles
(cos 2x) = 2 sinx cosx
(sin 2x) = (cos x)^2 - (sin x)^2 = 1 - 2 (sin x)^2
(tan 2x) = (2 tanx)/(1- (tan x)^2)
Addition/subtraction
sin (x + y) = sinx cosy + siny cosx
sin (x - y) = sinx cosy - siny cosx
cos (x + y) = cosx cosy - sinx siny
cos (x - y) = cosx cosy + sinx siny
tan (x + y) = (tanx + tany) / (1 - tanx tany)
tan ( x - y) = (tanx - tany) / (1 + tanx tany)
Calculus
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