Asked by Maria
1) Find the linearization of
f(x) = sin(x)
at x = 0 AND use it to estimate
sin(pi/87.129)
f(x) = sin(x)
at x = 0 AND use it to estimate
sin(pi/87.129)
Answers
Answered by
Steve
since sin(x) = x - x^3/6! + ...
the linear approximation at x=0 is sin(x) = x
so, sin(pi/87.129) = pi/87.129
In fact,
pi/87.129 = 0.03605679
sin(pi/87.129) = 0.03604898
the linear approximation at x=0 is sin(x) = x
so, sin(pi/87.129) = pi/87.129
In fact,
pi/87.129 = 0.03605679
sin(pi/87.129) = 0.03604898
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