Final answer:
The question seems to cover trigonometric functions and finding the values of x, y, and z, but lacks sufficient information for a complete solution. Only the calculation for sinx in terms of a known variable is provided, with further details needed to find the simplest radical form and the values of y and z.
Step-by-step explanation:
Finding Values Using Trigonometric Identities
The problem involves trigonometric functions and identities to find the values of x, y, and z. With the given cosine and tangent values, we can infer that this is a right triangle trigonometry problem.
Using the provided equations, such as cosx = (a)/(40) and tanx = (40)/(9), and knowing certain identities like sin^2x + cos^2x = 1 and tanx = sinx/cosx, we can find the missing values. Unfortunately, there seems to be an inconsistency in the provided question as it doesn't give enough information to find specific values for y and z.
To find x, we can express sinx using the Pythagorean identity:
sinx = √(1 - cos^2x)
Then, by rearranging tanx = sinx/cosx, we could solve for sinx:
sinx = tanx * cosx
Using the trigonometric values for cosine and tangent given, we can calculate sinx in terms of a:
sinx = (40/9) * (a/40) = a/9
However, without specific values for a or further context, we cannot simplify this to a simplest radical form. Additional information is required to solve for y and z.