Relation Between $$\cos^{-1}x$$ and $$\tan^{-1}x$$

Rarely Tested

Relation Between $$\cos^{-1}x$$ and $$\tan^{-1}x$$

## Formula

For:

$$-1<x\le1$$

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

with the appropriate quadrant adjustment when $$x<0$$.

## Usage

- Used to express inverse cosine through inverse tangent.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.