mac1147_lecture26_1_c

mac1147_lecture26_1_c - L26 The Inverse Trigonometric...

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312 L26 The Inverse Trigonometric Functions The six trigonometric functions are not one-to-one on their domains. To define the inverse of a trigonometric function, we consider the function on the restricted domain where it is one-to-one. The restricted domain we will call the Interval of Definition . Intervals of Definition and Inverses of the Trigonometric Functions: () sin fx x = Interval of Definition : 11 sin x −− = : Domain: Range: Note : sin x = is an odd function.
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313 () cos fx x = Interval of Definition : 11 cos x −− = : Domain: Range: tan x = Interval of Definition : tan x = : Domain: Range: Note : tan x = is an odd function.
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314 () cot fx x = Interval of Definition : 11 cot x −− = : Domain: Range: Notes : The domains of the inverse trigonometric functions are the ranges of the corresponding trigonometric function. The ranges of the inverse trigonometric functions are the Intervals of Definitions of the corresponding trigonometric functions. Important: Values of an inverse trigonometric function are the angles from the Interval of Definition (see the ranges of the inverse functions).
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This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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mac1147_lecture26_1_c - L26 The Inverse Trigonometric...

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