Fundamental Trigonometric Identities

Reciprocal Identities

sin = 1/csc

cos = 1/sec

tan = 1/cot

csc = 1/sin

sec = 1/cos

cot = 1/tan

Quotient Identities

tan = sin/cos

cot = cos/sin

Pythagorean Identities

sin^2 + cos^2 = 1

1 + tan^2 = sec^2

1 + cot^2 = csc^2

Even Odd Identities

sin(-x) = -sin x

cos(-x) = cos x

tan(-x) = -tan x

sec(-x) = sec x

csc(-x) = -csc x

cot(-x) = -cot x