Calendar: 1896-1897 Page 697

FACULTY OF SCIENCE CVli per cent and at per cent Why is this not true of Com- pound Interest Find the Compound Interest on £1 475 78 for years at 11 per cent to the nearest penny capitalist with £24 500 invests half of it in per cent stock at 87 and the other half in per cent stock at 105 What will his income be If the first stock rises to 93 and the second to 110 what amount of the first stock must he sell out and invest in the second so as to increase his income by £6 On Jan owes Β £200 due on March and £400 due on April and Β owes £100 due on Feb 13 On what day would cash payment- of £500 by to Β settle matters equitably Crtffononutrn YEAli II Define the secant of an angle and trace the changes in its value as the angle varies from to 360 Prove that -f- cosec sec cos 2A -f sec 2A cot tan cosec 2A sin 2A Find the general solution of the equation sin 2Θ sin 2a and shew that the same general solution is obtained if cosine or tangent be substituted for sine Solve the equation sin θ cos θ 10 OPM is triangle right-angled at OQ is drawn bisecting the angle Ο and cutting MP in Prove from the figure geometrically that tan θ sin cos Shew that tan 4Θ tan Θ sec 2Θ sec ΑΘ sec 2Θ sec 40 β cot θ sin 20-2 cos י sin cos 20 11 If 7i be the angles of triangle prove cos 2A cos 2B cos ל cos Λ sin Β sin 61 י β sin 2Λ sin 2A sin 27 sin 2i -f sin 2C si sin 2A sin sin 262 sin sin sin 12 In any triangle prove that tan tan