Inverse Cosine of a Tangent Expression

Rarely Tested

Inverse Cosine of a Tangent Expression

## Formula

If:

$$\theta=\tan^{-1}x$$

then:

$$\cos\theta=\frac1{\sqrt{1+x^2}}$$

Therefore:

$$\cos^{-1}\left(\frac1{\sqrt{1+x^2}}\right)=\tan^{-1}x$$

## Usage

- Used to convert an inverse cosine expression into inverse tangent form.

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