Calendar: 1890-1891 Page 767

f ENGINEERING DEPARTMENT CV 12 Find the amount of £432 in 24 years at per cent per annum compound interest 13 The sides of triangle are 17343 18 648 19Ό24 miles Find the greatest angle and the area Crtgonoimtri 14 What is meant by unit Mention all the angular units you are acquainted with and state what is the measure with respect to each of the angle of regular octagon 15 Under what circumstances is the sine of an angle negative Draw figures representiug the angles that are multiples of 60 with negative sines Obtain general formula to include them all and ascertain what are their cosines 16 Establish the formulae cos -f cos Β cos sin Β sin cos cos cos cos cos cos2 17 Express as product cos χ cos 3x f- cos 5x cos lx and as series of terms sin ן 18 If tan express sin sin 2jf and tan SA 19 In any triangle prove that the sines of the angles are proportional to the opposite sides and that the semi-perimeter is to the circum-radius as sin sin Β sin 20 Express the inradius of triangle in terms of the sides If Έ are the mid-points of the sides of ABC and the incentres of ABC DBF coincide prove that the triangle is equilateral ό