The book Mathematics for Agricultural Students was written by author Henry C Henry Charles Wolff Here you can read free online of Mathematics for Agricultural Students book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Mathematics for Agricultural Students a good or bad book?
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With C as center and with CA as radius describe an arc cutting BC at E and BC produced at D. Draw AE and AD. BAD is a right triangle with the angle AEC equal to The angle EAB is equal to Draw EK perpendicular to AE. K FIG. 36. The triangles BEK an4 BAD are similar. Hence AD AE a + - = tan AE EK 2 BD _ AD BE ~ EK Since BD = a + b, and BE = a b, a + b _ tan J (a + a b tan \ (a cot (D 57] THE CIRCULAR FUNCTIONS 107 which is known as the law of tangents. Since a + /3 + 7 = 180, 2 2' The law of tang...ents may be used instead of the law of cosines for solving triangles in which two sides and the included angle are given. ILLUSTRATION : Given a = 337. 6 feet b = 213. 5 feet 7 = 27 16' to find c, a and |8. Solution: tan $( - |8) = CI ^- tan \(a + j8) a + 6 a - 6 = 124. 1 a + b = 551. 1 J(a + j8) = 76 22' log (a - 6) = 2. 0938 log tan |(a + 0) = 0. 6152 log (o + 6) = 2. 7413 log tan |(a - 0) = 9. 9677 - 10 i( _ 0) = 42 52' a = 119 14' /8 = 33 30' Find the value of c by using the law of sines, b sin 7 c = sin |8 log 6 = 2.
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