Trigonometry Examples

$r = 5 \cos (x)$

Step 1

Rewrite the equation as $5 \cos (x) = r$ .

$5 \cos (x) = r$

Step 2

Divide each term in $5 \cos (x) = r$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 \cos (x) = r$ by $5$ .

$\frac{5 \cos (x)}{5} = \frac{r}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 \cos (x)}{5} = \frac{r}{5}$

Step 2.2.1.2

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

$\cos (x) = \frac{r}{5}$

Step 3

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

$x = \arccos (\frac{r}{5})$