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<math>\tan \theta = \frac{\sin \theta}{\cos \theta} = \cot \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\cot \theta} \,</math>
<math>\tan \theta = \frac{\sin \theta}{\cos \theta} = \cot \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\cot \theta} \,</math>
==Tangent Graph==
The basic tangent graph is as follow:
{| style="background:none"
|
{| class="wikitable" style="text-align:center"
|-
!x values
!y values
|-
|width="50%"|-π/2
|width="50%"|undefined
|-
| -π/4
| -1
|-
|0
|0
|-
| π/4
| 1
|-
| π/2
| undefined
|}
|[[Image:Tangent-pi.png]]
|}
That would be a full period of the graph - as 2π [[radians]] is equivalent to one circle. The graph continues in that pattern.
==Other Uses==
In [[analytic geometry]], a line which intersects a [[circle]] or [[curve]] at only one point is said to be tangent to that circle or curve. At the point of intersection, the curve and the line have exactly the same [[slope]].
In [[analytic geometry]], a line which intersects a [[circle]] or [[curve]] at only one point is said to be tangent to that circle or curve. At the point of intersection, the curve and the line have exactly the same [[slope]].
Compare: [[Asymptote]]
Compare: [[Asymptote]]
[[Category:Trigonometry]]
[[Category:Trigonometry]]