Trig Functions and Identities

Domain: (-∞,∞)Range: [-1,1]

sin θ= opposite/hypotenus

Odd Function

Inverse: sin^-1 x

sin θ=1/cscθ

Domain: {x/x≠ odd multiples of π/2}Range: All real numbers

tan θ= opposite/adjacent

Odd Function

Inverse: tan^-1 x

tan θ= sin θ/ cos θ

Domain: {x/x≠kπ/2 where k is an odd integer}Range: (-∞, -1]U [-1, ∞)

sec θ= hypotenuse/adjacent

Even Function

Inverse: sec^-1x

sec θ= 1/cos θ

Domain: (-∞,∞)Range: [-1,1]

cos θ= adjacent/hypotenus

Even Function

Inverse: cos^-1 x

cos θ= 1/sec θ

Domain: {x/x≠ kπ, where K is an integer}Range: (-∞, -1]U [-1, ∞)

csc Ɵ= hypotenuse/opposite

Odd Function

Inverse: csc^-1x

csc Ɵ= 1/sinƟ

Domain: {x/x≠kπ where k is an even integer}Range: (-∞,∞)

cot Ɵ= adjacent/opposite

Odd Function

Inverse: cot^-1x

cot Ɵ= 1/ tanƟ