Trigonometry Examples

$\tan (\frac{2 π}{4})$

Step 1

Rewrite $\tan (\frac{2 π}{4})$ in terms of sines and cosines.

$\frac{\sin (\frac{2 π}{4})}{\cos (\frac{2 π}{4})}$

Step 2

Cancel the common factor of $2$ and $4$ .

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Step 2.1

Factor $2$ out of $2 π$ .

$\frac{\sin (\frac{2 π}{4})}{\cos (\frac{2 (π)}{4})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $4$ .

$\frac{\sin (\frac{2 π}{4})}{\cos (\frac{2 π}{2 \cdot 2})}$

Step 2.2.2

Cancel the common factor.

$\frac{\sin (\frac{2 π}{4})}{\cos (\frac{2 π}{2 \cdot 2})}$

Step 2.2.3

Rewrite the expression.

$\frac{\sin (\frac{2 π}{4})}{\cos (\frac{π}{2})}$

Step 3

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$\frac{\sin (\frac{2 π}{4})}{0}$

Step 4

The expression contains a division by $0$ . The expression is undefined.

Undefined