Tan41

Tan41 is a shorthand for the tangent of the number 41. In many mathematical contexts, 41 is interpreted as an angle measured in degrees, so tan41 typically means tan(41°). The value is the ratio sin(41°) to cos(41°) and does not have a simple exact expression in radicals. Numerically, tan(41°) ≈ 0.8693. The angle 41° lies in the first quadrant, where both sine and cosine are positive.

If the number 41 is interpreted in radians, tan(41) denotes the tangent of 41 radians. Because the tangent function is periodic with period π radians, tan(41) = tan(41 − kπ) for any integer k; in this case tan(41) ≈ tan(0.1593) ≈ 0.1607. Thus tan41 is not a fixed constant and its value depends on whether the input is in degrees or radians.

Computation and usage: tan values are commonly computed with calculators or software, which may operate in degree mode or radian mode. To compute tan(41°) from a calculator that uses radians, convert by multiplying by π/180, so tan(41°) = tan(0.71558 rad) ≈ 0.8693.

Applications of the tangent function include determining slopes of lines making a given angle with the x-axis and solving trigonometric problems in geometry, physics, and engineering. Tan41, as a specific angle, is one of many non-special angles without a simple exact expression. See also tangent function, degrees, radians.