Trig Functions and Identities

Honelako gehiago

Chapter 3 & 5

Carlos Garcia‑k egina

Pre-calc

Montana Ebbesen‑k egina

Six Trig Functions

Julia Santos‑k egina

pre calculus

Seongbin Hwang‑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]