Finite Math Examples

$\tan (a) = \frac{20}{50}$

Step 1

Subtract $\frac{20}{50}$ from both sides of the equation.

$\tan (a) - \frac{20}{50} = 0$

Step 2

Cancel the common factor of $20$ and $50$ .

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Step 2.1

Factor $10$ out of $20$ .

$\tan (a) - \frac{10 (2)}{50} = 0$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $10$ out of $50$ .

$\tan (a) - \frac{10 \cdot 2}{10 \cdot 5} = 0$

Step 2.2.2

Cancel the common factor.

$\tan (a) - \frac{10 \cdot 2}{10 \cdot 5} = 0$

Step 2.2.3

Rewrite the expression.

$\tan (a) - \frac{2}{5} = 0$

Step 3

Set the argument in $\tan (a)$ equal to $\frac{π}{2} + π n$ to find where the expression is undefined.

$a = \frac{π}{2} + π n$ , for any integer $n$

Step 4

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

${a | a = \frac{π}{2} + π n}$ $n$ , for any integer $n$

Step 5