# Calendar: 1879-1880 Page 640

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G40 CL0THW0RKEE8' SCIENCE EXHIBITION Resolve into factors and simplify τ Solve the equations -U χ χ β 65 person lends £1 000 part at part at per cent the whole amount of interest per year is £44 how much was lent at per cent The sum of numbers in Arithmetical Progression is 50 and the product of the second and third 156 find the numbers 10 Find the number of combinations of η things taken together The number of combinations of set of things taken together is twice as great as the number taken together find how many things there are in the set 11 Write down the expansion of 23 and of 2x -K 12 Prove the identities sin Μ οοβ Α sin' cos'A δ 8ϊη2Λ tan8 cos 2A cot "A tan cot"A 13 Give geometrical proofs for the expansions of sin and tan liA 180 prove cos cos Β cos sin sin sin sin Β sin 4cos cos י cos £1 15 In any triangle cos 4- cos 4" a2 cos Λ be tan v- --

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