Sine function: sin θ = y/r
Cosine function: cos θ = x/r
Tangent function: tan θ = y/x
Cotangent function: cotθ = x/y
Secθ = r/x secθ = r/x
Cotangent function: CSC θ = r/y
The basic relationship between trigonometric functions with the same angle;
Square relation:
sin^2(α)+cos^2(α)= 1
tan^2(α)+ 1=sec^2(α)
cot^2(α)+ 1=csc^2(α)
Product relationship:
sinα=tanα*cosα
cosα=cotα*sinα
tanα=sinα*secα
cotα=cosα*cscα
secα=tanα*cscα
csα= secα* cotα
Reciprocal relationship:
tanα cotα= 1
sinα cscα= 1
cosα secα= 1