Precalculus Examples

$y = \sin (x + \frac{π}{6})$

Step 1

Rewrite the equation as $\sin (x + \frac{π}{6}) = y$ .

$\sin (x + \frac{π}{6}) = y$

Step 2

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

$x + \frac{π}{6} = \arcsin (y)$

Step 3

Subtract $\frac{π}{6}$ from both sides of the equation.

$x = \arcsin (y) - \frac{π}{6}$