Domain and Range of Trigonometric Functions

Domain of g(x) = sin x

[-π/2, π/2]

Range of g(x) = sin x

[-1,1]

Domain of inverse sine

[-1,1]

Range of inverse sine

[-π/2, π/2]

Domain of g(x) = tan x

(-π/2, π/2)

Range of g(x) = tan x

R

Domain of inverse tangent

R

Range of inverse tangent

(-π/2, π/2)

Domain of g(x) = cos x

[0, π]

Range of g(x) = cos x

[-1,1]

Domain of inverse cosine

[-1,1]

Range of inverse cosine

[0, π]

Domain of g(x) = sec x

[0,π], (x can't equal pi/2)

Range of g(x) = sec x

y greater than or equal to 1, y less than or equal to -1

Domain of inverse secant

x greater than or equal to 1, x less than or equal to -1

Range of inverse secant

[0, pi]

Domain of g(x) = csc x

[-π/2, π/2] , x can't equal 0

Range of g(x) = csc x

y greater than or equal to 1, y less than or equal to -1

Domain of inverse cosecant

x greater than or equal to 1, x less than or equal to -1

Range of inverse cosecant

[-π/2, π/2], y can't equal 0

Domain of g(x) = cot x

(0,π)

Range of g(x) = cot x

R

Domain of inverse cotangent

R

Range of inverse cotangent

(0,π)

What is the period of sine?

2 pi (it repeats every 2 pi

What is the period of cosine?

2 pi (it repeats every 2 pi)

What is the period of tangent?

pi (it repeats every pi)

What is the period of cotangent?

pi (it repeats every pi)

sin (-x)

- sin x

cos (-x)

cos x