# The inverse of the function sin(x) + cos(x) is...?

##### 1 Answer

#### Answer

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#### Explanation

#### Explanation:

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Please see the explanation.

#### Explanation:

Here is the graph:

This looks like a cosine function that has been multiplied by an amplitude and phase shift to the right:

My graphing tool allows me to obtain values of points and I can tell you that

This fits the trigonometric identity:

where

This happens at

The graphing tool confirms that the x coordinates are shift by

Substitute

The left side becomes x by definition:

Make the

Use the inverse cosine on both sides:

Solve for

To confirm that this is truly an inverse, verify that

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