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INVERSE TRIGONOMETRIC FUNCTIONS

INVERSE TRIGONOMETRIC FUNCTIONS Review First, let s review briefly INVERSE FUNCTIONS before getting into INVERSE TRIGONOMETRIC FUNCTIONS : f f -1 is the INVERSE The range of f = the domain of f -1, the INVERSE . The domain of f = the range of f -1 the INVERSE . y = f(x) x in the domain of f. x = f -1 (y) y in the domain of f -1 f [f -1 (y)] = y y in the domain of f -1 f -1[f (x)] = x x in the domain of f Trigonometry Without Restrictions TRIGONOMETRIC FUNCTIONS are periodic, therefore each range value is within the limitless domain values (no breaks in between). Since TRIGONOMETRIC FUNCTIONS have no restrictions, there is no INVERSE . With that in mind, in order to have an INVERSE function for trigonometry, we restrict the domain of each function, so that it is one to one.

Inverse Trigonometric Functions Review First, let’s review briefly inverse functions before getting into inverse trigonometric functions: • f Æ f -1 is the inverse • The range of f = the domain of f -1, the inverse. • The domain of f = the range of f …

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