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#
# 1.m
#
#
n = 10;
format long;
function retval = snewtonstep(x, s)
corr = (-4*x*x*x+3*x-s) / (-12*x*x + 3);
retval = x - corr;
end
function retval = cnewtonstep(x, c)
corr = (4*x*x*x-3*x-c) / (12*x*x - 3);
retval = x - corr;
end
s0 = pi / 180;
s3 = sind(3)
c3 = cosd(3)
r = zeros(n+1,2)
r(1,1) = pi / 180;
r(1,2) = sqrt(1-r(1,1)^2);
for i = (1:n)
r(i+1,1) = snewtonstep(r(i,1), s3);
r(i+1,2) = cnewtonstep(r(i,2), c3);
endfor
r
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