Precalculus Examples

$\arctan (\tan (- \frac{7 π}{4}))$

Step 1

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

$\arctan (\tan (\frac{π}{4}))$

Step 2

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

$\arctan (1)$

Step 3

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

$\frac{π}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{4}$

Decimal Form:

$0.78539816 \dots$