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Graphs of Inverse Functions

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Inverse Sine Function The horizontal line test shows that the sine function is not one-to-one and has no inverse function.

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The Restricted Domain

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Graph the Inverse Sine xy -.707 0.707 1 xy 0.707 1

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Graph of Inverse Sine xy 0.707 1

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Inverse Cosine Function As with the sine, the domain must again be restricted. For cosine we restrict to

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Graph the Inverse Cosine xy 01.707 0 -.707 xy 10.707 0 -.707

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Graph of Inverse Cosine xy 10.707 0 -.707

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Inverse Tangent Function

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Graph the Inverse Tangent xy und 0 1 und xy 0 1

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Graph of Inverse Tangent xy und 0 1

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