## Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |

### From inside the book

Results 1-5 of 28

Page 44

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**tangent**of which is - tan 0 . 5. Write down a formula for all angles the cosine of which is = 1 . 6. Express all the trigonometrical functions in terms of the sine . 7. Express the same in terms of the**tangent**. 8. The same in terms of ... Page 49

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**tangents**of two angles are and find the**tangent**of their sum . 40. Find from the equation 0 tan = cosec ✪ — sin 0 . 2 respectively , G. P. 41. If cot xn cot ( ax ) , then TRIGONOMETRY . 49. Page 54

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**tangent**of half the difference of the acute angles , then = x : y :: 1 + t : 1 − t . 24. Given the angles of a triangle , and the radius of the inscribed circle , determine the sides . 25. The triangle ABC has its angles A , B , C in ... Page 55

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**tangents**of the angles of a triangle are in harmo- nical progression ; given one of the sides , and the difference of the first and third angle ; solve the triangle . 35. The perimeter of a triangle : the diameter of the in- scribed ... Page 58

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**tangent**of which is 015 , at a place the horizontal distance of which from the foot of the tower is 100 feet ; determine the height of the tower . MISCELLANEOUS PROBLEMS . 1. Given three lines drawn from any point within a square to ...### Other editions - View all

### Common terms and phrases

2nd Edition 3rd Edition 4th Edition acceleration tending arithmetical arithmetical mean arithmetical series bisected centre of gravity chord circle concave cone Conic Sections conjugate convex lens Crown 8vo cylinder determine diameter directrix distance drawn Elementary ellipse English equal equation extremity F. A. Paley Fcap feet Find the number find the value fluid focal length foci focus geometrical progression given point given weight harmonic mean horizontal inches incident inclined plane inscribed intersection Latin latus rectum locus luminous point middle point mirror Multiply parabola parallel particle describes passing perpendicular position Post 8vo pressure prism projected prove pully quantity radii radius ratio reflected refracting respectively shew sides sinČ specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical

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