Calendar: 1880-1881 Page 683

CLOTHWORKEIts' SCIENCE EXHIBITIONS 683 11 Prove that Sin sin cos Β f- cos sin Find θ from the equation sin C0S sin cos tan tf Find cosec having given that tan 2A 2f4 If cos2 β tan sin2 β cot then tan2 θ tan β tan β 12 When two sides and the included angle of triangle are given find the other angles and the third side 13 Find the radius of the circle described round triangle 14 State De Moivre's Theorem and prove it when η is positive or negative integer II ucitir ilementarg ContcS &c Trisect given finite straight line If side of any triangle be produced the exterior angle is equal to the two interior and opposite angles and the three interior angles of every triangle are together equal to two right angles All the interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides Describe parallelogram equal to given rectilineal figure and having an angle equal to given rectilineal angle Describe square that shall be equal to given rectilineal figure Draw straight line which shall touch two given circles In circle the angle in semicircle is right angle but the angle in segment greater than semicircle is less than right angle and the angle in segment less than semicircle is greater than right angle If from any point in the circumference of circle chord and tangent be drawn the perpendiculars dropped on them from the middle point of the subtended arc are equal