MAT135H1 Lecture Notes - Lecture 19: Minute And Second Of Arc, Inverse Trigonometric Functions

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Mat135 - lecture 19 - inverse trigonometric functions. Read sections 3. 5 and 1. 5 from the textbook. Recall that a function f has an inverse if and only if it is one-to-one on its domain. Trigonometric functions do not have inverses, but have inverses. Trigonometric functions do not have inverses because they are periodic and so are not . Notice f ( ) = sin is not . Trigonometric functions have inverses if we restrict the domain trigonometric function so that it"s one-to-one on the new domain. Restrict f ( ) = sin to the domain [- , be the function with the domain [-1, 1] and. = sin -1 ( ) for [- Sin -1 ( ) is also commonly written as arcsin( ) and referred to arcsine. The key fact to remember is that the range . Of other trigonometric functions, we can also enforce them.

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