Identities

fundamental identity of sinθ

y

fundamental identity of cosθ

x

fundamental identities of tanθ

y/x (when x is not 0)

fundamental identity of cscθ

1/y (when y is not 0)

fundamental identity of secθ

1/x (when x is not 0)

fundamental identity of cotθ

x/y (when y is not 0)

reciprocal identity of cscθ

1/sinθ

reciprocal identity of secθ

1/cosθ

reciprocal identity of cotθ

1/tanθ

quotient identity of tanθ

sinθ/cosθ

quotient identity of cotθ

cosθ/sinθ

pythagorean identity of cos²θ+sin²θ

1

pythagorean identity of 1+tan²θ

sec²θ

pythagorean identity of cot²θ+1

csc²θ