Evaluate arctan(1)-arctan(-1)

$\arctan (1) - \arctan (- 1)$

Simplify each term.

The exact value of $\arctan (1)$ is $\frac{π}{4}$ .

$\frac{π}{4} - \arctan (- 1)$

The exact value of $\arctan (- 1)$ is $- \frac{π}{4}$ .

$\frac{π}{4} - - \frac{π}{4}$

Multiply $- - \frac{π}{4}$ .

Multiply $- 1$ by $- 1$ .

$\frac{π}{4} + 1 \frac{π}{4}$

Multiply $\frac{π}{4}$ by $1$ .

$\frac{π}{4} + \frac{π}{4}$

Simplify terms.

Combine the numerators over the common denominator.

$\frac{π + π}{4}$

Add $π$ and $π$ .

$\frac{2 π}{4}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 π$ .

$\frac{2 (π)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 π}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 π}{2 \cdot 2}$

Rewrite the expression.

$\frac{π}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{2}$

Decimal Form:

$1.57079632 \dots$