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Sin (angle)
y
Cos (angle)
x
Tan (angle)
y/x
Sec (angle)
1/cosine (angle) or 1/x
Csc (angle)
1/sin (angle) or 1/y
Cot (angle)
1/tan (angle) or x/y
Sin(-x)
-sin(x)
Tan(-x)
-Tan(x)
Cos(-x)
Cos(x)
Sin2 + Cos2 =
1
1 + Cot2 =
Csc2
1 + Tan2 =
Sec2
Cos(90-x)
Sin(x)
Cot(90-x)
Tan(x)
Csc(90-x)
Sec(x)
Sin(90-x)
Cos(x)
Tan(90-x)
Cot(x)
Sec(90-x)
Csc(x)
Law of sines
sin(A)/a = sin(B)/b = sin(C)/c
Area for law of sines
1/2(first side)(second side)(sin(included angle))
Law of cosines
c2 = a2 + b2 - 2ab(cos(C))
45-45-90
hypotenuse = root2 x leg
30-60-90
longer leg = root3 x short leg, hypotenuse is 2 x short leg