Calendar: 1851-1852 Page 318

322 GENERAL LITERATURE AND SCIENCE 11 Adapt χ to logarithmic computation 12 In the triangle Β take BD Β BE BC AF AC join FD FE then triangle CFE tri- angle ADF 13 Given and being small compared with then sin ft2 sin ל Τίι 77 -ך &c sm l" sin 2" 14 Prove that- Cos sin cos sin sin f- cos -ד cosec cos a- sin cos -sin י 15 If be the three angles of triangle and sin sin Β sin Β -j- 16 If tan -1 sin -1 then ό If tan tan find If sin -1 2x sin -1 χ צ ץ sin -1 χ find ί II -ftigcbra person invests 500 in the per cents at 92-j find the income tax he pays half-yearly the tax being 7d in the £ Find ζ from the equations ν זג ζ χ -j- 24 ע χ 60 Expand --- in series ascending by the powers of and find an expression for the difference between and the first מ terms of the series