6 Trig Functions

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Fundamental Identities

tan^2θ+1=sec^2θ

1+cot^2θ=csc^2θ

sin^2θ+cos^2θ= 1

Trig Functions

COTθ

y=cot^-1θ

D: (−∞,∞)

R:(0,π)

y=cotθ

D: All real except nπ

TANθ

y=tan^-1θ

D: (−∞ ∞,)

R:( (-π/2)/(π/2))

y=tanθ

D: All Reals except (π/2)+nπ

R: All Real #s

Per: π

SECθ

y=sec^-1θ

D: (−∞ −, 1]∪[1,∞)

R: [0,π], y≠(π/2)

y=secθ

D: All real except (π/2)+(nπ)

R: (−∞,−1]∪[1,∞)

COSθ

y=cos^-1θ

R: [0,π]

y=cosθ

D: All Real #s

R: [-1,1]

CSCθ

y=csc^-1θ

D: (- ∞, -1]U[1, ∞ )

R: [(-π/2)/(π/2)], y≠0

y=cscθ

D: All Reals except nπ

R: (- ∞, -1]U[1, ∞ )

Per: 2π

Odd

SINθ

y=Sin^-1θ

D: [-1,1]

R: [(-π/2)/(π/2)]

y=sinθ

Domain: All Real #s

Range: [-1,1]

Period: 2π

Even