Trigonometry Examples

$(3, 8)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(3, 8)$ , draw the triangle between the three points $(0, 0)$ , $(3, 0)$ , and $(3, 8)$ .

Opposite : $8$

Adjacent : $3$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{8}{3}$ .

$\frac{8}{3}$

Step 3

Approximate the result.

$\tan (θ) = \frac{8}{3} \approx 2.\overline{6}$

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