# How do you simplify arc tan 0.3839?

Jul 11, 2016

${21}^{0}$

#### Explanation:

arctan converts the numeric value back to the angle

By my calculator $\arctan 0.3839 = 21.001795 \ldots .$

Assuming this has a processing error implies that

$\arctan 0.3839 = {21}^{0}$
,.....................................................
check: Showing all the numbers on the display of my calculator.

$\tan \left({21}^{0}\right) \approx 0.383864035035$

Rounding this to 4 decimal places gives $0.3839$

Thus ${21}^{0}$ is a reasonable estimate