So far in this course, the only trigonometric functions which we have studied are sine and

**cosine**. The**tangent**of x is defined to be its sine divided by its**cosine**:**tan**x =**sin**x**cos**x . The**cotangent**of x is defined to be the**cosine**of x divided by the sine of x: cot x =**cos**x**sin**x .Hereof, what is tan in trigonometry?

**Tangent**(

**tan**) function -

**Trigonometry**. (See also

**Tangent**to a circle). In a right triangle, the

**tangent**of an angle is the length of the opposite side divided by the length of the adjacent side.

What is tan function?

Sine, Cosine and Tangent are the main

**functions**used in Trigonometry and are based on a Right-Angled Triangle. Before getting stuck into the**functions**, it helps to give a name to each side of a right triangle: "Opposite" is opposite to the angle θ "Adjacent" is adjacent (next to) to the angle θWhere is tan equal to 1?

30 Degrees

Angle | Tan=Sin/Cos |
---|---|

30° | 1 √3 = √3 3 |

45° | 1 |

60° | √3 |