Trigonometry Examples

$f (\frac{π}{6}) = \cos (x + \frac{π}{3})$

Step 1

Rewrite the equation as $\cos (x + \frac{π}{3}) = f (\frac{π}{6})$ .

$\cos (x + \frac{π}{3}) = f (\frac{π}{6})$

Step 2

Combine $f$ and $\frac{π}{6}$ .

$\cos (x + \frac{π}{3}) = \frac{f π}{6}$

Step 3

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

$x + \frac{π}{3} = \arccos (\frac{f π}{6})$

Step 4

Subtract $\frac{π}{3}$ from both sides of the equation.

$x = \arccos (\frac{f π}{6}) - \frac{π}{3}$