Algebra Examples

$(4, 2)$

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(4, 2)$ , draw the triangle between the three points $(0, 0)$ , $(4, 0)$ , and $(4, 2)$ .

Opposite : $2$

Adjacent : $4$

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{2}{4}$ .

$\frac{2}{4}$

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

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Factor $2$ out of $2$ .

$\tan (θ) = \frac{2 (1)}{4}$

Cancel the common factors.

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Factor $2$ out of $4$ .

$\tan (θ) = \frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$\tan (θ) = \frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$\tan (θ) = \frac{1}{2}$

Approximate the result.

$\tan (θ) = \frac{1}{2} \approx 0.5$