In two similar octagons LMNOPQRS and IJKLMNOP, angle N corresponds to angle O, and both angles are acute. If \( \sec(N) = \frac{13}{5} \), what is the value of \( \sec(O) \)?

If two similar hexagons UVWXYZ and ABCDEF have corresponding angles such that angle V and angle B are both right angles, and \( \sin(V) = \frac{5}{13} \), what is the value of \( \sin(B) \)?

Given two similar pentagons KLMNO and PQRST where angle M corresponds to angle T, and they are both acute. If \( \cot(M) = \frac{7}{24} \), what is the value of \( \cot(T) \)?

Two similar polygons ABCDE and FGHIJ have corresponding angles such that angle C and angle H are both obtuse. Given that \( \tan(C) = \frac{4}{3} \), find \( \tan(H) \).

In two similar quadrilaterals PQRS and WXYZ, angle Q corresponds to angle Y, and both angles are acute. If \( \cos(Q) = \frac{8}{17} \), what is the value of \( \cos(Y) \)?