This is Numerical Analysis (Theory of Approximation)

Problem 2. Use Taylor polynomials with 330 = 0 to approximate tan(0.1) with absolute error less than 2 X 10'5. Then use your result together with double angle formula to nd an approximation for tan(0.2). Use formulae for error behaviour under arithmetic operations to estimate the error of this approximation. Check if your result is in agreement with WolframAlpha approximation tan(0.2) = 0.202710 (click the link)