Plane and Spherical Trigonometry
Ginn, 1905 - Trigonometry - 234 pages
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Common terms and phrases
acute angle angle angle of elevation arithmetic base called Check circle compute construct cosē cosh cosine coterminal curve denote difference Dividing draw equal equation example EXERCISE Express figures Find the distance formulas four functions Geometry Given half height Hence horizontal hour identities included increases known less logarithms measure Multiplying negative NOTE Observe obtain opposite plane pole positive principal Prove Putting quadrant quality unit radians radius reciprocal relations represented respectively right angles right triangle roots ship sides sin b sin sinē sine sinh solution Solve sphere spherical triangle star Take tangent third triangle ABC triedral angle trigonometric ratios vertex vertical Write ηπ
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...