# How do you use a linear approximation or differentials to estimate #tan44º#?

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To estimate ( \tan(44^\circ) ) using linear approximation or differentials, you can use the fact that for small angles, the tangent function is approximately equal to the angle itself measured in radians.

Since ( 44^\circ ) is not very large, we can use the linear approximation:

( \tan(x) \approx x ) for small ( x ) in radians.

Converting ( 44^\circ ) to radians:

( 44^\circ \times \left( \frac{\pi}{180} \right) = \frac{44\pi}{180} ) radians.

Thus, ( \tan(44^\circ) \approx \frac{44\pi}{180} ).

You can then calculate the numerical value using this approximation.

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