Precalculus Examples

$y = \tan (x + \frac{π}{4})$

Step 1

Rewrite the equation as $\tan (x + \frac{π}{4}) = y$ .

$\tan (x + \frac{π}{4}) = y$

Step 2

Take the inverse tangent of both sides of the equation to extract $x$ from inside the tangent.

$x + \frac{π}{4} = \arctan (y)$

Step 3

Subtract $\frac{π}{4}$ from both sides of the equation.

$x = \arctan (y) - \frac{π}{4}$