# Plane and Spherical Trigonometry

Ginn, 1905 - Trigonometry - 234 pages
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### Contents

 PLANE TRIGONOMETRY 1 CHAPTER II 17 CHAPTER V 52 Areas of triangles 74 CHAPTER VII 110 CHAPTER VIII 120 SECTION PAGE 129 Trigonometric equations and systems 137141 137
 Problems involving areas and regular polygons 146 146 CHAPTER XI 162 CHAPTER XIII 183 CHAPTER XIV 194 FORMULAS 205210 205 ANSWERS 124 1 76 77 10 Copyright

### Popular passages

Page 75 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Page 78 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Page 142 - A pole is fixed on the top of a mound, and the angles of elevation of the top and the bottom of the pole are 60� and 30� respectively.
Page 149 - It will be demonstrated art. 452, that every section of a sphere made by a plane is a circle.
Page 18 - ... the angle to be 30�. Find the height of the tree and the breadth of the river, if the two points of observation are in the same horizontal line at the base of the tree.
Page 174 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Page 173 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Page 129 - The modulus of the quotient of two complex numbers is equal to the quotient of their moduli.
Page 55 - B — sin A sin B cos (A — B) — - cos A...