Calculus Examples

$x = 6 \cos (t)$

Step 1

Rewrite the equation as $6 \cos (t) = x$ .

$6 \cos (t) = x$

Step 2

Divide each term in $6 \cos (t) = x$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 \cos (t) = x$ by $6$ .

$\frac{6 \cos (t)}{6} = \frac{x}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 \cos (t)}{6} = \frac{x}{6}$

Step 2.2.1.2

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

$\cos (t) = \frac{x}{6}$

Step 3

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

$t = \arccos (\frac{x}{6})$