Final answer:
To find the value of tanx as a simplified fraction from the given options, we can identify that (4)/(3) is the tangent of an angle of 53.13 degrees, making it the most likely correct value of tanx.
Step-by-step explanation:
The question being asked is to find the value of tanx, which is a trigonometric function. To answer a question like this, typically, we need additional information, such as the angle x or the values of the other trigonometric functions at angle x. However, based on the provided options, if we assume that x corresponds to commonly known angles, we can deduce the value of tanx from the choices given.
For instance, if we consider option (4)/(3), it is a known value of the tangent function for an angle of 53.13 degrees (often referred to as tan(53.13°) = 4/3). None of the other ratios correspond to the tangent values of familiar angles. Therefore, the value of tanx as a simplified fraction from the given options is most likely (4)/(3).