Fundamental Trigonometric Identities

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Kaitlyn Walls‑k egina

Trig Mind Map 2

Kaitlyn Walls‑k egina

Fundamental Trigonometric Identities

Even Odd Identities

cot(-x) = -cot x

csc(-x) = -csc x

sec(-x) = sec x

tan(-x) = -tan x

cos(-x) = cos x

sin(-x) = -sin x

Pythagorean Identities

1 + cot^2 = csc^2

1 + tan^2 = sec^2

sin^2 + cos^2 = 1

Quotient Identities

cot = cos/sin

tan = sin/cos

Reciprocal Identities

cot = 1/tan

sec = 1/cos

csc = 1/sin

tan = 1/cot

cos = 1/sec

sin = 1/csc