We want to apply the Lagrange Error Bound Theorem, and bound it to 0.001: For those unknowns variables in the theorem, we know that: The
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Computing each of T (π/4) and cos (π/4) to eight digits of accuracy: The actual error is: 0.70742921 – 0.70710678 = 0.00032243. This is much better than our estimated
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