Use a suitable linearization to find an approximate value of – sin(36°) = - sin(π/5) as follows: (a) Explain why 30º = π/6 is a

Question

Use a suitable linearization to find an approximate value of – sin(36°) = - sin(π/5)
as follows:

(a) Explain why 30º = π/6 is a good tabular point;
(b) Give the equation of the tangent line at the tabular point and the value of
the approximation;
(c) Give an upper bound for the error function |E (36°)|;
(d) Show that
                        - sin(36°) ∈ (-0.59068, -0.59681).

Kunduz · Accepted Answer

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