trignometric identities

Pythagorean Identities

sin2 θ + cos2 θ = 1

tan2 θ + 1 = sec2 θ

cot2 θ + 1 = csc2 θ

sin (–x) = –sin x

cos (–x) = cos x

tan (–x) = –tanx

csc (–x) = –csc x

sec (–x) = sec x

cot (–x) = –cot x

sin (90° – x) = cos x

tan (90° – x) =cotx

sec (90° – x) = csc x

cos (90° – x) = sin x

cot (90° – x) = tan x

csc (90° – x) = sec x

or

or

or or

0

0

1

0

30º

45º

60º

90º

180º

270º

(in degrees)

(in radians)

1

0

undefined

0

-1

0

-1

0

undefined

(0.5)

(0.707)

(0.866)

(0.866)

(0.707)

1

(0.5)

(0.577)

(1.732)