Calendar: 1873-1874 Page 615

THE SCHOOL 615 Having given cot V3 prove that sec V6 V2 and cosec Find the sines and cosines of 18 of 918 and of Define logarithm and prove that log log logra Find the logarithm of 81 to the base and of 243 to the hase- Given log102 30103 find iog10 -00016 and solve approximately the equation 52 163 Show how to solve triangle when two sides and the included angle are given Example 60 δ and V2 10 If be the radius of the circle inscribed in the triangle ΑΒϋ prove that Β cos sin sin Show that the distances between the centres of the inscribed circle and the centres of the escribed circles are respectively and Β cos COS COS 11 Find the sums of the series cos cos cos to terms and tan tan 4- tan -1- tan to η terms 2T4 Prove that ז π π tan -μ tan--μ tan--Η to infinitv י 16 16י8 74ז 12 Obtain the exponential values of sin θ and cos Θ