(a) Use the addition formulas for sin and cos to prove that tan(p/2 – x) = 1/tan x. (b) Show that…

(a) Use the addition formulas for sin and cos to prove that tan(π/2 − x) = 1/tan x. (b) Show that [0,π/4] can be used as a fundamental domain for tan x. (c) Design a tangent key, following the principles of Program 3.3, using degree 3 polynomial interpolation on this fundamental domain. (d) Empirically calculate the maximum error of the tangent key in [0,π/4].

 

 

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