Let f = tan x

What is the formula for the conditioning number of f? Evaluate this formula for pi/4, 1.01, 1.26 and 1.51, working to three significant figures.

Replace each of the expression for x by a 2 s.f. approximation and compute the relative error of the approximations and the functions of the approximations.

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Now, I think I can handle the calculations but I CANNOT find the formula anywhere. I don't have it in my notes and I can't find where to find it out. If someone knows this formula can you post it, I will attempt the questions.

Also, just want to check. When I evaluate the functions using the approximations to 2 s.f, would I round the result to 2 s.f too?