Calendar: 1891-1892 Page 823

engineering department CXXXV FIRST SECOND AND THIRD YEARS £lementan vtgonoimtn 12 Describe fully three methods of measuring angles stating their respective advantages Express 282 44 in grades &c 13 Define the cosine of an angle and shew that this trigone- metrical ratio is always the same for the same angle 14 Prove that tan 2A sec 2J ο ν ן tan 2A cot 2A sm -- sec 2A tan 2A cosec2 cot 215 15 sin 215 15 sin 215 15 Find all the angles which have the same sine as given angle Solve the equation tan 3Θ tan Θ cot sec 2Θ 16 Prove that cos cos cos Β sin sin sinAs B- sinBsm C-J BmCan A-B 17 If tan 7r tan cot 7r tan then sin 2η cos cos where η is any integer 18 In any triangle prove that cos sin j5 sin sin cos sin sin sin Β cos 4r cos cos cos £2 c2 2fo cos 19 In any triangle right-angled at prove that -β i£ cot i£ ν sin sin