Section 4.7 Inverse Trigonometric Functions

Helpful things to remember. If no horizontal line intersects the graph of a function more than once, the function has an inverse. If the point (a, b) is on the graph of f, then the point (b, a) is on the graph of the inverse function. The graph of the inverse is a reflection of the graph of f about the line y = x. The inverse is not the same as the reciprocal

The Inverse Sine Function

A Function and Its Inverse

To find the exact values of y = sin x, it is helpful to ask yourself, “The sine of what angle equals x.” Using your unit circle will help you find the answer. Make sure your answer falls within the restrictions Example

You try some

The Inverse Cosine Function

Example

You try some

The Inverse Tangent Function

Example

You try some

Using a Calculator to Evaluate Inverse Trigonometric Functions

Example

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