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Home > History and Archaeology > History > Plane Trigonometry for the Use of Students Preparing for Examinations; Containing the More Advanced Propositions, Solution of Problems and a Complete Summary of Formulae, Bookwork, Etc., Together with Recent Examination Papers for the
Plane Trigonometry for the Use of Students Preparing for Examinations; Containing the More Advanced Propositions, Solution of Problems and a Complete Summary of Formulae, Bookwork, Etc., Together with Recent Examination Papers for the

Plane Trigonometry for the Use of Students Preparing for Examinations; Containing the More Advanced Propositions, Solution of Problems and a Complete Summary of Formulae, Bookwork, Etc., Together with Recent Examination Papers for the


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1885 edition. Excerpt: ...1. Examine the rule for transferring an angle expressed in French measure to the English scale. Express the angle of an equilateral and equiangular pentagon in the French scale, and thence determine its measure in the English scale. 2. Define as ratios the sine and tangent of an angle, and show that any proper fraction, positive or negative, may be the sine of an angle, and any number, positive or negative, may be the tangent of an angle. Prove cos (90-A) = sin A =-sin (-4). 3. If A + B be less than a right angle, prove--sin (A + B) = sin A cosB + cos A sin B. Deduce directly from this formula cos 2A = cos2 A-sin2 A. Express-=r cos (3A + 2B) + cos (5 A-4 ) as the product of two cosines. 4. Find the sine and cosine of 30; and prove sin 45 = cos 45= and sin 105 + cos 105 = cos 45. 5. Prove-- A 2 tan--(i.) tan A 6. If 7r ( = 3-1416) be the ratio of the circumference of a circle to its diameter, of what angle is--the circular measure? Express in degrees the angular unit of circular measure; and show that this angle is subtended by an arc equal in length to the radius of the circle. Express in circular measure the least angle of an isosceles triangle in which the vertical angle is half of each of the angles at the base. 7. An observer on the top of a cliff 200 feet above the sea level, observes the angles of depression of two ships at anchor in the same vertical plane with the observer to be 45 and 30 respectively; find the distance of the ships from each other. 8. When is the solution of an oblique-angled triangle said to be ambiguous? Given 4 = 30, 0=100, 4-B = 100 v/3, solve both the triangles to which the data belong. 9. Given the three sides of a plane triangle, find an expression for the area of the triangle. Apply it to...


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Product Details
  • ISBN-13: 9781130322361
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 113032236X
  • Publisher Date: 01 Jun 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr

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Plane Trigonometry for the Use of Students Preparing for Examinations; Containing the More Advanced Propositions, Solution of Problems and a Complete Summary of Formulae, Bookwork, Etc., Together with Recent Examination Papers for the
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