Calculus Examples

$\tan (x) v = \frac{- 1}{3}$

Step 1

Move the negative in front of the fraction.

$\tan (x) v = - \frac{1}{3}$

Step 2

Divide each term in $\tan (x) v = - \frac{1}{3}$ by $v$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $\tan (x) v = - \frac{1}{3}$ by $v$ .

$\frac{\tan (x) v}{v} = \frac{- \frac{1}{3}}{v}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $v$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{\tan (x) v}{v} = \frac{- \frac{1}{3}}{v}$

Step 2.2.1.2

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

$\tan (x) = \frac{- \frac{1}{3}}{v}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$\tan (x) = - \frac{1}{3} \cdot \frac{1}{v}$

Step 2.3.2

Multiply $\frac{1}{v}$ by $\frac{1}{3}$ .

$\tan (x) = - \frac{1}{v \cdot 3}$

Step 2.3.3

Move $3$ to the left of $v$ .

$\tan (x) = - \frac{1}{3 v}$

Step 3

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

$x = \arctan (- \frac{1}{3 v})$