Trigonometry 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

Add $\frac{π}{4}$ to both sides of the equation.

$x = \arctan (y) + \frac{π}{4}$