Domain/Range of Trigonometric Functions

Sine Domain

All real numbers

Tangent Range

All real numbers

Cotangent Domain

All real numbers , except integer multiples of pi (180 degrees)

Cosine Range

All real numbers from -1 to 1

Sine Range

All real numbers from -1 to 1

Cosecant Range

All real numbers greater than or equal to 1 or less than or equal to -1

Secant Range

All real numbers greater than or equal to 1 or less than or equal to -1

Cosecant Domain

All real numbers, except integer multiples of pi (180 degrees)

Secant Domain

All real numbers, except odd integer multiples of pi/2 (90 degrees)

Tangent Domain

All real numbers, except odd integer multiples of pi/2 (90 degrees)

Period of Cos

Every 2pi it repeats

Period of Csc

Every 2pi it repeats

Period of Sec

Every 2pi it repeats

Period of Sin

Every 2pi it repeats

Period of Cot

Every pi it repeats

Period of Tan

Every pi it repeats

Amplitude of Cot

Infinite

Amplitude of Csc

Infinite

Amplitude of Sec

Infinite

Amplitude of Tan

Infinite

Amplitude of Sin

1

Cosine Domain

All real numbers

Cotangent Range

All real numbers

Amplitude of Cos

1