Precalculus Examples

$\tan (\frac{5 π}{2})$

Step 1

Find the value using the definition of tangent.

$\tan (\frac{5 π}{2}) = \frac{opposite}{adjacent}$

Step 2

Substitute the values into the definition.

$\tan (\frac{5 π}{2}) = \frac{1}{0}$

Step 3

The value of a trigonometric function is undefined when the expression of its value ( $\frac{1}{0}$ ) is an undefined quantity because of division by $0$ .

Undefined