Precalculus Examples

$x = 4 \cos (t)$

Step 1

Rewrite the equation as $4 \cos (t) = x$ .

$4 \cos (t) = x$

Step 2

Divide each term in $4 \cos (t) = x$ by $4$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $4 \cos (t) = x$ by $4$ .

$\frac{4 \cos (t)}{4} = \frac{x}{4}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{4 \cos (t)}{4} = \frac{x}{4}$

Step 2.2.1.2

Divide $\cos (t)$ by $1$ .

$\cos (t) = \frac{x}{4}$

Step 3

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

$t = \arccos (\frac{x}{4})$