Calendar: 1881-1882 Page 628

general literature and science 629 Show how to sum to η terms series of the form' ar or ar η where ατ λ ar Sum to מ terms 37577 57T79 11 ψ State and prove Fermat's Theorem iVbe the 2p jy6 y2 is multiple of In terms of what units are angles measured theoretically practically On two circles whose radii are respectively three and four inches two arcs are taken The areas of the sectors on these arcs are inversely as the radii and the sum of the areas is equal to the difference of the areas of the two circles Show that the arcs subtend angles of 135 and 20 at their respective centres 10 Prove geometrically that cos2 cos2 sin2 cos should have three distinct values for the same value of cos 11 Find χ from the equations י It sin sin 2θ -- ρ cos20 co cos3x sin Prove the identity tan 45 tan 45 C0t lA tan 45 -A tan 45ΜΓΖ