Find the Value Using the Unit Circle tan(pi/4)

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Trigonometry

$\tan (\frac{π}{4})$

Find the value using the definition of tangent.

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

Substitute the values into the definition.

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

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

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Cancel the common factor.

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

Divide $1$ by $1$ .

$1$

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