Find the Exact Value arctan(tan(-(4pi)/9))

$\arctan (\tan (- \frac{4 π}{9}))$

Step 1

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\arctan (\tan (\frac{14 π}{9}))$

Step 2

The result can be shown in multiple forms.

Exact Form:

$\arctan (\tan (\frac{14 π}{9}))$

Decimal Form:

$- 1.39626340 \dots$