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Categories:
All
-
inverse
-
period
-
functions
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trigonometry
by
Ashton Lassiter
3 years ago
88
Six Trigonometric Functions
Trigonometric functions, including sine, cosine, tangent, cotangent, secant, and cosecant, each have unique characteristics that define their behavior. The sine and cosine functions have a domain of all real numbers and a range between -1 and 1.
Open
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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