Cheet sheat generated by www.mathportal.org
Opposite
sin α = Hypotenuse
Adjacent
cos α = Hypotenuse
tan α = Opposite
Adjacent
1
csc α = sin α = Hypotenuse
Opposite
sec α = cos1 α = Hypotenuse
Adjacent
Adjacent
cot α = tan1 α = Opposite
sin(−x) = − sin(x)
cos(−x) = cos(x)
π
sin 2 − x = cos(x)
π
cos 2 − x = sin(x)
π
sin 2 + x = cos(x)
π
cos 2 + x = − sin(x)
sin(π − x) = sin(x)
cos(π − x) = − cos(x)
sin(π + x) = − sin(x)
cos(π + x) = − cos(x)
sin2 x + cos2 x = 1
tan2 x + 1 = cos12 x
cot2 x + 1 = sin12 x
sin(α + β) = sin α · cos β + sin β · cos α
sin(α − β) = sin α · cos β − sin β · cos α
cos(α + β) = cos α · cos β − sin α · cos β
cos(α − β) = cos α · cos β + sin α · cos β
tan α+tan β
tan(α + β) = 1−tan
α·tan β
tan α−tan β
tan(α − β) = 1+tan
α·tan β
Cheet sheat generated by www.mathportal.org
sin(2 α) = 2 · sin α · cos α
cos(2 α) = cos2 α − sin2 α
2 tan α
tan(2 α) = 1−tan
2α
q
α
sin α2 = ± 1−cos
q 2
α
cos α2 = ± 1+cos
2
tan α2 =
1−cos α
sin α
=
sin αq
1−cos α
1+cos α
tan α2 = ± 1−cos
α
sin β
sin γ
sin α
=
=
α
β
γ
2
2
a2 = b + c − 2 · b · c · cos α
b2 = a2 + c2 − 2 · a · c · cos β
c2 = a2 + b2 − 2 · a · b · cos γ
A = 12 a b sin γ