Trigonometry Examples

y = \tan (x + \frac{π}{2})

$y = \tan (x + \frac{π}{2})$

Step 1

Rewrite the equation as

\tan (x + \frac{π}{2}) = y

$\tan (x + \frac{π}{2}) = y$ .

\tan (x + \frac{π}{2}) = y

$\tan (x + \frac{π}{2}) = y$

Step 2

Take the inverse tangent of both sides of the equation to extract

x

$x$ from inside the tangent.

x + \frac{π}{2} = \arctan (y)

$x + \frac{π}{2} = \arctan (y)$

Step 3

Subtract

\frac{π}{2}

$\frac{π}{2}$ from both sides of the equation.

x = \arctan (y) - \frac{π}{2}

$x = \arctan (y) - \frac{π}{2}$