Tan9

Tan9 refers to the mathematical function tangent evaluated at an angle of 9 radians. The tangent function, denoted as tan(x), is a trigonometric function that represents the ratio of the sine of an angle to its cosine. In a right-angled triangle, it is also defined as the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle.

An angle of 9 radians is approximately 515.66 degrees. This value is obtained by multiplying 9 by the conversion factor of 180/π degrees per radian. The tangent function is periodic with a period of π radians (or 180 degrees). This means that tan(x + nπ) = tan(x) for any integer n. Therefore, tan(9) is equivalent to tan(9 - 2π), tan(9 - 4π), and so on, as well as tan(9 + 2π), etc. The value of 9 radians falls into the third quadrant where the tangent function is positive.

The numerical value of tan(9) is approximately 1.977. This value can be calculated using calculators or software that can handle trigonometric functions with radian inputs. The tangent function has vertical asymptotes at odd multiples of π/2, meaning that as the angle approaches these values, the tangent approaches positive or negative infinity. 9 radians is not one of these values, so tan(9) is a well-defined real number.