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Inverses of Trigonometric Functions

Inverses of Trigonometric Functions. The Sine Function Graph. Domain: Range:. All Reals. -1≤y≤1. The Sine graph is a function (one output for each input). Let’s find the inverse of this graph. The Inverse Sine RELATION Graph. Domain: Range:. -1≤y≤1. All Reals.

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Inverses of Trigonometric Functions

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  1. Inverses of Trigonometric Functions

  2. The Sine Function Graph Domain: Range: All Reals -1≤y≤1 The Sine graph is a function (one output for each input). Let’s find the inverse of this graph.

  3. The Inverse Sine RELATION Graph Domain: Range: -1≤y≤1 • All Reals The Inverse Sine graph is NOT a function (multiple outputs for each input). This red portion is a function. The red portion will be known as the inverse sine FUNCTION. If the range of this graph is restricted, it will become a function.

  4. The Inverse Sine FUNCTION Graph Domain: Range: -1≤y≤1 With the restriction on the range, the inverse sine function has one output for each input. Every output of the inverse sine function above is known as a principal value of the inverse of sine.

  5. The Cosine Function Graph Domain: Range: All Reals -1≤y≤1 The Cosine graph is a function (one output for each input). Let’s find the inverse of this graph.

  6. The Inverse Cosine RELATION Graph Domain: Range: -1≤y≤1 • All Reals The Inverse Cosine graph is NOT a function (multiple outputs for each input). This red portion is a function. The red portion will be known as the inverse cosine FUNCTION. If the range of this graph is restricted, it will become a function.

  7. The Inverse Cosine FUNCTION Graph Domain: Range: -1≤y≤1 With the restriction on the range, the inverse cosine function has one output for each input. Every output of the inverse cosine function above is known as a principal value of the inverse of cosine.

  8. The Tangent Function Graph Domain: Range: All Reals The Tangent graph is a function (one output for each input). Let’s find the inverse of this graph.

  9. The Inverse Tangent RELATIONGraph Domain: Range: • All Reals The Inverse Tangent graph is NOT a function (multiple outputs for each input). If the range of this graph is restricted, it will become a function. This red portion is a function. The red portion will be known as the inverse tangent FUNCTION.

  10. The Inverse Tangent FUNCTION Graph Domain: Range: All Reals With the restriction on the range, the inverse cosine function has one output for each input. Every output of the inverse tangent function above is known as a principal value of the inverse of tangent.

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