# Trigonometric Functions

## Sine Function

#### y = sin x

Domain:

Range: [−1, 1]

Period:

Continuity: continuous at

Increasing:

Decreasing:

Maximum:

Minimum:

Odd function: sen(−x) = −sen x

x-intercepts:

## Cosine Function

#### y = cos x

Domain:

Range: [−1, 1]

Period:

Continuity: continuous at

Increasing:

Decreasing:

Maximum:

Minimum:

Even function: cos(−x) = cos x

x-intercepts:

## Tangent Function

#### y = tan x

Domain:

Range:

Continuity: continuous at

Period:

Increasing:

Maximum: No.

Minimum: No.

Odd function: tg(−x) = −tg x

x-intercepts:

## Cotangent Function

#### y = cot x

Domain:

Range:

Continuity: continuous at

Period:

Decreasing:

Maximum: No.

Minimum: No.

Odd function: cotg(−x) = −cotg x

x-intercepts:

## Secant Function

#### y = sec x

Domain:

Range: (− ∞, −1] [1, ∞)

Period:

Continuity: continuous at

Increasing:

Decreasing:

Maximum:

Minimum:

Even function: sec(−x) = sec x

x-intercepts:    No

## Cosecant Function

#### y = csc x

Domain:

Range: (− ∞, −1] [1, ∞)

Period:

Continuity: continuous at

Increasing:

Decreasing:

Maximum:

Minimum:

Odd function: cosec(−x) = −cosec x

x-intercepts:    No

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