The tangent can be determined with a collection of mathematical formulas but is most commonly determined by dividing the sine function by the cosine function.

We want the slope, but all we have is the angle. What we need is a relationship that relates the two. This relationship is known as the “ tangent function,” written as tan (x). The tangent of ...

Sin, cos and tan are commonly used abbreviations for the three trigonometric functions sine, cosine and tangent.

Learn how to find the angles in right-angled triangles with this BBC Bitesize Maths article. For students between the ages of 11 and 14.