Trigonometry Examples

$c \cos (x) = \frac{8}{17}$

Step 1

Divide each term in $c \cos (x) = \frac{8}{17}$ by $c$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $c \cos (x) = \frac{8}{17}$ by $c$ .

$\frac{c \cos (x)}{c} = \frac{\frac{8}{17}}{c}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $c$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{c \cos (x)}{c} = \frac{\frac{8}{17}}{c}$

Step 1.2.1.2

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

$\cos (x) = \frac{\frac{8}{17}}{c}$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Multiply the numerator by the reciprocal of the denominator.

$\cos (x) = \frac{8}{17} \cdot \frac{1}{c}$

Step 1.3.2

Multiply $\frac{8}{17}$ by $\frac{1}{c}$ .

$\cos (x) = \frac{8}{17 c}$

Step 2

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

$x = \arccos (\frac{8}{17 c})$