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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).

• The equations Æ y = sin -1 x or y = arcsin x which also means, sin y = x, where -π/2 < y < π/2, -1 < x < 1 (remember f range is f -1 domain and vice versa). Restricted Sine vs. Inverse Sine • As we established before, to have an inverse trigonometric function, first …

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