Trigonometry Examples

$\tan (\frac{5 π}{4})$

Step 1

Find the value using the definition of tangent.

$\tan (\frac{5 π}{4}) = \frac{opposite}{adjacent}$

Step 2

Substitute the values into the definition.

$\tan (\frac{5 π}{4}) = \frac{- \frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$

Step 3

Simplify the result.

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Step 3.1

Dividing two negative values results in a positive value.

$\frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

Step 3.2

Cancel the common factor of $\frac{\sqrt{2}}{2}$ .

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Step 3.2.1

Cancel the common factor.

$\frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

Step 3.2.2

Rewrite the expression.

$1$

Step 4