sinθ = 1
cscθ cscθ = 1
sinθ
cosθ = 1
secθ secθ = 1
cosθ
tanθ = 1
cotθ cotθ = 1
tanθ
tanθ = sinθ
cosθ
cotθ = cosθ
sinθ
sin2θ + cos2θ = 1
sec2θ - tan2θ = 1
csc2θ - cot2θ = 1
sin �
2- θ = cosθ cos �
2- θ = sinθ
tan �
2- θ = cotθ cot �
2- θ = tanθ
csc �
2- θ = secθ sec �
2- θ = cscθ
radians = 90°
�
2
sin(-θ) = -sinθ cos(-θ) = cosθ
tan(-θ) = -tanθ cot(-θ) = -cotθ
csc(-θ) = -cscθ sec(-θ) = secθ
sin(θ ± ɸ) = sinθ cosɸ ± cosθ sinɸ
cos(θ ± ɸ) = cosθ cosɸ sinθ sinɸ
±
tan(θ ± ɸ) =
±
tanθ ± tan ɸ
1 tanθ tan ɸ
sin(2θ) = 2 sinθ cosθ
cos(2θ) = cos2θ - sin2θ
cos(2θ) = 1 - 2 sin2θ
cos(2θ) = 2 cos2θ - 1
tan(2θ) = 2 tanθ
1 - tan2θ
sin2θ = 1 - cos(2θ)
2
cos2θ = 1 + cos(2θ)
2
tan2θ = 1 - cos(2θ)
1 + cos(2θ)
sinθ + sinɸ = 2sin θ + ɸ
2
θ - ɸ
2
cos
sinθ - sinɸ = 2cos θ + ɸ
2
θ - ɸ
2
sin
cosθ + cosɸ = 2cos θ + ɸ
2
θ - ɸ
2
cos
cosθ - cosɸ = -2sin θ + ɸ
2
θ - ɸ
2
sin
sinθ sinɸ = [cos(θ - ɸ) - cos(θ + ɸ)]
2
cosθ cosɸ = [cos(θ - ɸ) + cos(θ + ɸ)]
2
sinθ cosɸ = [sin(θ + ɸ) + sin(θ - ɸ)]
2
cosθ sinɸ = [sin(θ + ɸ) - sin(θ - ɸ)]
2
Sum to Product of Two Angles Product to Sum of Two Angles
Double Angle Identities Half Angle Indentities
Cofunction Identities Sum/Difference Indentities
Pythagorean Identities Even/Odd Indentities
Quotient Identities Reciprocal Indentities
Trigonometry Function Identities
