Six Trigonometric Functions
Sine Function: f(x)= sin(x)
Domain: all real numbers
Range: [-1 , 1]
Period = 2pi
x-int: x = k pi , where k is an integer.
y-int: y = 0
Inverse: Cosecant
Tangent Function : f(x) = tan (x)
Domain: all real numbers except pi/2 + k pi, k is an integer.
Range: all real numbers
Period = pi
x intercepts: x = k pi , where k is an integer.
y intercepts: y = 0
Inverse: Cotangent
Secant Function : f(x) = sec (x)
Domain: all real numbers except pi/2 + k pi, n is an integer.
Range: (-infinity , -1] U [1 , +infinity)
Period = 2 pi
y intercepts: y = 1
Inverse: Cosine
Cosine Function : f(x) = cos (x)
Domain: all real numbers
Range: [-1 , 1]
Period = 2pi
x int: x = pi/2 + k pi , where k is an integer.
y int: y = 1
Inverse: Secant
Cotangent Function : f(x) = cot (x)
Domain: all real numbers except k pi, k is an integer.
Range: all real numbers
Period = pi
x intercepts: x = pi /2 + k pi , where k is an integer.
Inverse: Tan
Cosecant Function : f(x) = csc (x)
Domain: all real numbers except k pi, k is an integer.
Range: (-infinity , -1] U [1 , +infinity)
Period = 2pi
Inverse: Sin