For some positive integer \(n,\)
\(\csc (2^3)^\circ + \csc (2^4)^\circ + \csc (2^5)^\circ + \dots + \csc (2^{2019})^\circ = \sec n^\circ.\)
Find the smallest possible \(n.\)
Solved by computer:
for (n = 3..2019) {
x = x + cscdeg(2^n);
}
output(x);
output = 1.002441898
This is equal to \(\sec 4^\circ\), so n = 4.
I'm glad you could give me this answer. Thanks!
Could someone show me a detailed way to solve this problem so I can use it elsewhere?
+214 
