Trig Functions and Identities

Honelako gehiago

Rate Of Change

Biftu denko‑k egina

pre calculus

Seongbin Hwang‑k egina

Six trigonometric functions and thier Properties

Travis Walker‑k egina

Right Triangle Trig

Amanda Mikiciuk‑k egina

Trig Functions and Identities

Cotangent

cot Ɵ= 1/ tanƟ

Graph of Cotangent

Inverse: cot^-1x

cot Ɵ= adjacent/opposite

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

Cosecant

csc Ɵ= 1/sinƟ

Graph of Cosecant

Inverse: csc^-1x

csc Ɵ= hypotenuse/opposite

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

Cosine

cos θ= 1/sec θ

Graph of Cosine

Inverse: cos^-1 x

cos θ= adjacent/hypotenus

Trig Identities

Secant

sec θ= 1/cos θ

Graph of Secant

Inverse: sec^-1x

Even Function

sec θ= hypotenuse/adjacent

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

Tangent

tan θ= sin θ/ cos θ

Graph of Tangent

Inverse: tan^-1 x

tan θ= opposite/adjacent

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

Sine

sin θ=1/cscθ

Graph of Sine

Inverse: sin^-1 x

Odd Function

sin θ= opposite/hypotenus

Domain: (-∞,∞)Range: [-1,1]