Changes

In [[trigonometry]], the '''tangent''' of an angle in a [[right triangle]] is defined as the ratio of the opposite and adjacent sides.

In [[trigonometry]], the '''tangent''' of an angle in a [[right triangle]] is defined as the ratio of the opposite and adjacent sides. The tangent is a [[trigonometric function]] of the angle and is often abbreviated ''tan''.

We can also see a relationship between the [[sine]] and [[cosine]] functions:

There is a relationship between the tangent and the [[sine]] and [[cosine]] functions:

<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>