Calendar: 1872-1873 Page 534

GENERAL LITERATURE AND SCIENCE 535 If the earth's radius subtends at the sun an angle of 8"58 find the circular measure of the angle and the distance of the sun from the earth Explain the terms sine cosine tangent secant complement supplement Prove sin' -f cos sec2 tanM sin2 ta"1J- tan2 tan cot sec -ί cosec sin 90 cosA cos 180 vo Find all the values of veisin where is any integer Prove that sin -f smA cosB -f cos sin and cos cosA cos sin sinB when each of the angles and Β is less than right angle but their sum greater than right angle Prove UnA s'm2A 1-cniA co eos2 sj 1-f cos2J ten'ii 23" tan and explain the double sign in each of the two latter values Prove the formula β β smA 4- sin sin -J- cos-- and β cos cos β cos cos- and deduce that 8in 3ϊη Λ 4- sin 2n