Tangent, which is commonly abbreviated to three letters as T-A-N, is the ratio of the side opposite the angle we know, or want to know, over the side adjacent to that angle. The adjacent side is the one touching the angle that is NOT the hypotenuse, which is the side opposite the right angle.
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 .
In right triangle trigonometry (for acute angles only), the tangent is defined as the ratio of the opposite side to the adjacent side. The unit circle definition is tan(theta)=y/x or tan(theta)=sin(theta)/cos(theta).
The tangent is equal to the opposite over the adjacent. Since our opposite side has a length of 3 inMoreThe tangent is equal to the opposite over the adjacent. Since our opposite side has a length of 3 in our jacent side has a length of 4.
Tan is a pale tone of brown. The name is derived from tannum (oak bark) used in the tanning of leather. The first recorded use of tan as a color name in English was in the year 1590.
Commonly used angles
|Angle in degrees||Tangent value|