Trigonometry Examples

(3, 8)

$(3, 8)$

Step 1

To find the

\tan (θ)

$\tan (θ)$ between the x-axis and the line between the points

(0, 0)

$(0, 0)$ and

(3, 8)

$(3, 8)$ , draw the triangle between the three points

(0, 0)

$(0, 0)$ ,

(3, 0)

$(3, 0)$ , and

(3, 8)

$(3, 8)$ .

Opposite :

8

$8$

Adjacent :

3

$3$

Step 2

\tan (θ) = \frac{Opposite}{Adjacent}

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

\tan (θ) = \frac{8}{3}

$\tan (θ) = \frac{8}{3}$ .

\frac{8}{3}

$\frac{8}{3}$

Step 3

Approximate the result.

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

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

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