Six Trigonometric Functions

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Introduction to functions.

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Six Trigonometric Functions

Cosecant Function : f(x) = csc (x)

Inverse: Sin

Cotangent Function : f(x) = cot (x)

Inverse: Tan

x intercepts: x = pi /2 + k pi , where k is an integer.

Domain: all real numbers except k pi, k is an integer.

Cosine Function : f(x) = cos (x)

Inverse: Secant

y int: y = 1

x int: x = pi/2 + k pi , where k is an integer.

Secant Function : f(x) = sec (x)

Inverse: Cosine

y intercepts: y = 1

Period = 2 pi

Range: (-infinity , -1] U [1 , +infinity)

Domain: all real numbers except pi/2 + k pi, n is an integer.

Tangent Function : f(x) = tan (x)

Inverse: Cotangent

y intercepts: y = 0

x intercepts: x = k pi , where k is an integer.

Period = pi

Range: all real numbers

Domain: all real numbers except pi/2 + k pi, k is an integer.

Sine Function: f(x)= sin(x)

Inverse: Cosecant

y-int: y = 0

x-int: x = k pi , where k is an integer.

Period = 2pi

Range: [-1 , 1]

Domain: all real numbers