Find the Exact Value arctan(tan(-(5pi)/7))

$\arctan (\tan (- \frac{5 π}{7}))$

Step 1

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

$\arctan (\tan (\frac{9 π}{7}))$

Step 2

The result can be shown in multiple forms.

Exact Form:

$\arctan (\tan (\frac{9 π}{7}))$

Decimal Form:

$0.89759790 \dots$