1) Find the linearization of

f(x) = sin(x)

at x = 0 AND use it to estimate

sin(pi/87.129)

1 answer

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