Plane and Spherical Trigonometry |
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Common terms and phrases
a/sin ABC in example acute angle Algebra angle of elevation arc degrees arithmetic Atan b/sin B₁ C/sin circle common logarithm complex number compute construct the triangle convex triangle cos² cosecant cosh cotangent coterminal denote diedral directed line draw equal equation EXERCISE Find the area Find the distance Find the height formulas Geometry Given Hence horizontal imaginary unit included angle intersections law of cosines law of sines log quotient logarithms measure Multiplying Observe obtain opposite perpendicular plane polar triangle pole polygon principal value Prove quality unit radians radius reciprocal right angles right triangles sec² sin b sin sin² sin³ sinh Solve sphere spherical angle spherical degrees spherical excess spherical triangle Spherical Trigonometry tan² tangent Theorem triedral angle trigonometric lines trigonometric ratios vector vertex vertical ηπ
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.